[{"article_processing_charge":"Yes (via OA deal)","has_accepted_license":"1","day":"10","scopus_import":"1","date_published":"2023-01-10T00:00:00Z","article_type":"original","citation":{"ieee":"E. Marensi, G. Yalniz, B. Hof, and N. B. Budanur, “Symmetry-reduced dynamic mode decomposition of near-wall turbulence,” Journal of Fluid Mechanics, vol. 954. Cambridge University Press, 2023.","apa":"Marensi, E., Yalniz, G., Hof, B., & Budanur, N. B. (2023). Symmetry-reduced dynamic mode decomposition of near-wall turbulence. Journal of Fluid Mechanics. Cambridge University Press. https://doi.org/10.1017/jfm.2022.1001","ista":"Marensi E, Yalniz G, Hof B, Budanur NB. 2023. Symmetry-reduced dynamic mode decomposition of near-wall turbulence. Journal of Fluid Mechanics. 954, A10.","ama":"Marensi E, Yalniz G, Hof B, Budanur NB. Symmetry-reduced dynamic mode decomposition of near-wall turbulence. Journal of Fluid Mechanics. 2023;954. doi:10.1017/jfm.2022.1001","chicago":"Marensi, Elena, Gökhan Yalniz, Björn Hof, and Nazmi B Budanur. “Symmetry-Reduced Dynamic Mode Decomposition of near-Wall Turbulence.” Journal of Fluid Mechanics. Cambridge University Press, 2023. https://doi.org/10.1017/jfm.2022.1001.","short":"E. Marensi, G. Yalniz, B. Hof, N.B. Budanur, Journal of Fluid Mechanics 954 (2023).","mla":"Marensi, Elena, et al. “Symmetry-Reduced Dynamic Mode Decomposition of near-Wall Turbulence.” Journal of Fluid Mechanics, vol. 954, A10, Cambridge University Press, 2023, doi:10.1017/jfm.2022.1001."},"publication":"Journal of Fluid Mechanics","abstract":[{"text":"Data-driven dimensionality reduction methods such as proper orthogonal decomposition and dynamic mode decomposition have proven to be useful for exploring complex phenomena within fluid dynamics and beyond. A well-known challenge for these techniques is posed by the continuous symmetries, e.g. translations and rotations, of the system under consideration, as drifts in the data dominate the modal expansions without providing an insight into the dynamics of the problem. In the present study, we address this issue for fluid flows in rectangular channels by formulating a continuous symmetry reduction method that eliminates the translations in the streamwise and spanwise directions simultaneously. We demonstrate our method by computing the symmetry-reduced dynamic mode decomposition (SRDMD) of sliding windows of data obtained from the transitional plane-Couette and turbulent plane-Poiseuille flow simulations. In the former setting, SRDMD captures the dynamics in the vicinity of the invariant solutions with translation symmetries, i.e. travelling waves and relative periodic orbits, whereas in the latter, our calculations reveal episodes of turbulent time evolution that can be approximated by a low-dimensional linear expansion.","lang":"eng"}],"type":"journal_article","file":[{"content_type":"application/pdf","file_size":1931647,"creator":"dernst","access_level":"open_access","file_name":"2023_JourFluidMechanics_Marensi.pdf","checksum":"9224f987caefe5dd85a70814d3cce65c","success":1,"date_updated":"2023-02-02T12:34:54Z","date_created":"2023-02-02T12:34:54Z","relation":"main_file","file_id":"12489"}],"oa_version":"Published Version","intvolume":" 954","title":"Symmetry-reduced dynamic mode decomposition of near-wall turbulence","ddc":["530"],"status":"public","_id":"12105","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","publication_identifier":{"issn":["0022-1120"],"eissn":["1469-7645"]},"month":"01","language":[{"iso":"eng"}],"doi":"10.1017/jfm.2022.1001","project":[{"name":"Revisiting the Turbulence Problem Using Statistical Mechanics: Experimental Studies on Transitional and Turbulent Flows","_id":"238598C6-32DE-11EA-91FC-C7463DDC885E","grant_number":"662960"}],"isi":1,"quality_controlled":"1","external_id":{"isi":["000903336600001"],"arxiv":["2101.07516"]},"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"oa":1,"file_date_updated":"2023-02-02T12:34:54Z","article_number":"A10","volume":954,"date_created":"2023-01-08T23:00:53Z","date_updated":"2023-08-01T12:53:23Z","author":[{"full_name":"Marensi, Elena","last_name":"Marensi","first_name":"Elena","id":"0BE7553A-1004-11EA-B805-18983DDC885E"},{"full_name":"Yalniz, Gökhan","orcid":"0000-0002-8490-9312","id":"66E74FA2-D8BF-11E9-8249-8DE2E5697425","last_name":"Yalniz","first_name":"Gökhan"},{"orcid":"0000-0003-2057-2754","id":"3A374330-F248-11E8-B48F-1D18A9856A87","last_name":"Hof","first_name":"Björn","full_name":"Hof, Björn"},{"last_name":"Budanur","first_name":"Nazmi B","orcid":"0000-0003-0423-5010","id":"3EA1010E-F248-11E8-B48F-1D18A9856A87","full_name":"Budanur, Nazmi B"}],"publisher":"Cambridge University Press","department":[{"_id":"BjHo"}],"publication_status":"published","acknowledgement":"E.M. acknowledges funding from the ISTplus fellowship programme. G.Y. and B.H. acknowledge\r\na grant from the Simons Foundation (662960, BH).","year":"2023"},{"oa":1,"external_id":{"arxiv":["2306.05098"],"isi":["001052929900004"]},"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2306.05098","open_access":"1"}],"project":[{"grant_number":"662960","_id":"238598C6-32DE-11EA-91FC-C7463DDC885E","name":"Revisiting the Turbulence Problem Using Statistical Mechanics: Experimental Studies on Transitional and Turbulent Flows"}],"isi":1,"quality_controlled":"1","doi":"10.1103/physrevlett.131.034002","language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1079-7114"],"issn":["0031-9007"]},"month":"07","acknowledgement":"We thank Baofang Song as well as the developers of Channelflow for sharing their numerical codes, and Mukund Vasudevan and Holger Kantz for fruitful discussions. This work was supported by a grant from the Simons Foundation (662960, B. H.).","year":"2023","department":[{"_id":"GradSch"},{"_id":"BjHo"}],"publisher":"American Physical Society","publication_status":"published","author":[{"last_name":"Paranjape","first_name":"Chaitanya S","id":"3D85B7C4-F248-11E8-B48F-1D18A9856A87","full_name":"Paranjape, Chaitanya S"},{"full_name":"Yalniz, Gökhan","id":"66E74FA2-D8BF-11E9-8249-8DE2E5697425","orcid":"0000-0002-8490-9312","first_name":"Gökhan","last_name":"Yalniz"},{"full_name":"Duguet, Yohann","last_name":"Duguet","first_name":"Yohann"},{"full_name":"Budanur, Nazmi B","id":"3EA1010E-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-0423-5010","first_name":"Nazmi B","last_name":"Budanur"},{"id":"3A374330-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-2057-2754","first_name":"Björn","last_name":"Hof","full_name":"Hof, Björn"}],"volume":131,"date_updated":"2023-12-13T11:40:19Z","date_created":"2023-07-24T09:43:59Z","article_number":"034002","citation":{"ista":"Paranjape CS, Yalniz G, Duguet Y, Budanur NB, Hof B. 2023. Direct path from turbulence to time-periodic solutions. Physical Review Letters. 131(3), 034002.","ieee":"C. S. Paranjape, G. Yalniz, Y. Duguet, N. B. Budanur, and B. Hof, “Direct path from turbulence to time-periodic solutions,” Physical Review Letters, vol. 131, no. 3. American Physical Society, 2023.","apa":"Paranjape, C. S., Yalniz, G., Duguet, Y., Budanur, N. B., & Hof, B. (2023). Direct path from turbulence to time-periodic solutions. Physical Review Letters. American Physical Society. https://doi.org/10.1103/physrevlett.131.034002","ama":"Paranjape CS, Yalniz G, Duguet Y, Budanur NB, Hof B. Direct path from turbulence to time-periodic solutions. Physical Review Letters. 2023;131(3). doi:10.1103/physrevlett.131.034002","chicago":"Paranjape, Chaitanya S, Gökhan Yalniz, Yohann Duguet, Nazmi B Budanur, and Björn Hof. “Direct Path from Turbulence to Time-Periodic Solutions.” Physical Review Letters. American Physical Society, 2023. https://doi.org/10.1103/physrevlett.131.034002.","mla":"Paranjape, Chaitanya S., et al. “Direct Path from Turbulence to Time-Periodic Solutions.” Physical Review Letters, vol. 131, no. 3, 034002, American Physical Society, 2023, doi:10.1103/physrevlett.131.034002.","short":"C.S. Paranjape, G. Yalniz, Y. Duguet, N.B. Budanur, B. Hof, Physical Review Letters 131 (2023)."},"publication":"Physical Review Letters","article_type":"original","date_published":"2023-07-21T00:00:00Z","keyword":["General Physics and Astronomy"],"article_processing_charge":"No","day":"21","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"13274","intvolume":" 131","status":"public","title":"Direct path from turbulence to time-periodic solutions","oa_version":"Preprint","type":"journal_article","issue":"3","abstract":[{"text":"Viscous flows through pipes and channels are steady and ordered until, with increasing velocity, the laminar motion catastrophically breaks down and gives way to turbulence. How this apparently discontinuous change from low- to high-dimensional motion can be rationalized within the framework of the Navier-Stokes equations is not well understood. Exploiting geometrical properties of transitional channel flow we trace turbulence to far lower Reynolds numbers (Re) than previously possible and identify the complete path that reversibly links fully turbulent motion to an invariant solution. This precursor of turbulence destabilizes rapidly with Re, and the accompanying explosive increase in attractor dimension effectively marks the transition between deterministic and de facto stochastic dynamics.","lang":"eng"}]},{"month":"10","publication_identifier":{"issn":["2632-072X"]},"language":[{"iso":"eng"}],"doi":"10.1088/2632-072x/ac99cd","quality_controlled":"1","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"oa":1,"file_date_updated":"2023-01-24T07:24:37Z","article_number":"04LT02","date_created":"2023-01-12T12:03:43Z","date_updated":"2023-02-13T09:15:13Z","volume":3,"author":[{"first_name":"Georg","last_name":"Börner","full_name":"Börner, Georg"},{"last_name":"Schröder","first_name":"Malte","full_name":"Schröder, Malte"},{"full_name":"Scarselli, Davide","id":"40315C30-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5227-4271","first_name":"Davide","last_name":"Scarselli"},{"orcid":"0000-0003-0423-5010","id":"3EA1010E-F248-11E8-B48F-1D18A9856A87","last_name":"Budanur","first_name":"Nazmi B","full_name":"Budanur, Nazmi B"},{"full_name":"Hof, Björn","first_name":"Björn","last_name":"Hof","id":"3A374330-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-2057-2754"},{"full_name":"Timme, Marc","last_name":"Timme","first_name":"Marc"}],"publication_status":"published","department":[{"_id":"BjHo"}],"publisher":"IOP Publishing","year":"2022","acknowledgement":"We acknowledge support from the Volkswagen Foundation under Grant No. 99720 and the German Federal Ministry for Education and Research (BMBF) under Grant No. 16ICR01. This research was supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy—EXC-2068—390729961—Cluster of Excellence Physics of Life of TU Dresden.","day":"25","has_accepted_license":"1","article_processing_charge":"No","keyword":["Artificial Intelligence","Computer Networks and Communications","Computer Science Applications","Information Systems"],"scopus_import":"1","date_published":"2022-10-25T00:00:00Z","article_type":"original","publication":"Journal of Physics: Complexity","citation":{"short":"G. Börner, M. Schröder, D. Scarselli, N.B. Budanur, B. Hof, M. Timme, Journal of Physics: Complexity 3 (2022).","mla":"Börner, Georg, et al. “Explosive Transitions in Epidemic Dynamics.” Journal of Physics: Complexity, vol. 3, no. 4, 04LT02, IOP Publishing, 2022, doi:10.1088/2632-072x/ac99cd.","chicago":"Börner, Georg, Malte Schröder, Davide Scarselli, Nazmi B Budanur, Björn Hof, and Marc Timme. “Explosive Transitions in Epidemic Dynamics.” Journal of Physics: Complexity. IOP Publishing, 2022. https://doi.org/10.1088/2632-072x/ac99cd.","ama":"Börner G, Schröder M, Scarselli D, Budanur NB, Hof B, Timme M. Explosive transitions in epidemic dynamics. Journal of Physics: Complexity. 2022;3(4). doi:10.1088/2632-072x/ac99cd","ieee":"G. Börner, M. Schröder, D. Scarselli, N. B. Budanur, B. Hof, and M. Timme, “Explosive transitions in epidemic dynamics,” Journal of Physics: Complexity, vol. 3, no. 4. IOP Publishing, 2022.","apa":"Börner, G., Schröder, M., Scarselli, D., Budanur, N. B., Hof, B., & Timme, M. (2022). Explosive transitions in epidemic dynamics. Journal of Physics: Complexity. IOP Publishing. https://doi.org/10.1088/2632-072x/ac99cd","ista":"Börner G, Schröder M, Scarselli D, Budanur NB, Hof B, Timme M. 2022. Explosive transitions in epidemic dynamics. Journal of Physics: Complexity. 3(4), 04LT02."},"abstract":[{"lang":"eng","text":"Standard epidemic models exhibit one continuous, second order phase transition to macroscopic outbreaks. However, interventions to control outbreaks may fundamentally alter epidemic dynamics. Here we reveal how such interventions modify the type of phase transition. In particular, we uncover three distinct types of explosive phase transitions for epidemic dynamics with capacity-limited interventions. Depending on the capacity limit, interventions may (i) leave the standard second order phase transition unchanged but exponentially suppress the probability of large outbreaks, (ii) induce a first-order discontinuous transition to macroscopic outbreaks, or (iii) cause a secondary explosive yet continuous third-order transition. These insights highlight inherent limitations in predicting and containing epidemic outbreaks. More generally our study offers a cornerstone example of a third-order explosive phase transition in complex systems."}],"issue":"4","type":"journal_article","file":[{"creator":"dernst","content_type":"application/pdf","file_size":1006106,"file_name":"2022_JourPhysics_Boerner.pdf","access_level":"open_access","date_created":"2023-01-24T07:24:37Z","date_updated":"2023-01-24T07:24:37Z","success":1,"checksum":"35c5c5cb0eb17ea1b5184755daab9fc9","file_id":"12350","relation":"main_file"}],"oa_version":"Published Version","ddc":["530"],"status":"public","title":"Explosive transitions in epidemic dynamics","intvolume":" 3","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"12134"},{"oa_version":"Published Version","file":[{"content_type":"application/pdf","file_size":1421256,"creator":"dernst","access_level":"open_access","file_name":"2022_PLoSONE_Budanur.pdf","checksum":"1ddd9b91e6dec31ab0e7a8433ca2d452","success":1,"date_created":"2022-08-01T08:02:38Z","date_updated":"2022-08-01T08:02:38Z","relation":"main_file","file_id":"11712"}],"_id":"11704","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","status":"public","title":"An autonomous compartmental model for accelerating epidemics","ddc":["510"],"intvolume":" 17","abstract":[{"lang":"eng","text":"In Fall 2020, several European countries reported rapid increases in COVID-19 cases along with growing estimates of the effective reproduction rates. Such an acceleration in epidemic spread is usually attributed to time-dependent effects, e.g. human travel, seasonal behavioral changes, mutations of the pathogen etc. In this case however the acceleration occurred when counter measures such as testing and contact tracing exceeded their capacity limit. Considering Austria as an example, here we show that this dynamics can be captured by a time-independent, i.e. autonomous, compartmental model that incorporates these capacity limits. In this model, the epidemic acceleration coincides with the exhaustion of mitigation efforts, resulting in an increasing fraction of undetected cases that drive the effective reproduction rate progressively higher. We demonstrate that standard models which does not include this effect necessarily result in a systematic underestimation of the effective reproduction rate."}],"issue":"7","type":"journal_article","date_published":"2022-07-18T00:00:00Z","publication":"PLoS ONE","citation":{"ama":"Budanur NB, Hof B. An autonomous compartmental model for accelerating epidemics. PLoS ONE. 2022;17(7). doi:10.1371/journal.pone.0269975","ista":"Budanur NB, Hof B. 2022. An autonomous compartmental model for accelerating epidemics. PLoS ONE. 17(7), e0269975.","apa":"Budanur, N. B., & Hof, B. (2022). An autonomous compartmental model for accelerating epidemics. PLoS ONE. Public Library of Science. https://doi.org/10.1371/journal.pone.0269975","ieee":"N. B. Budanur and B. Hof, “An autonomous compartmental model for accelerating epidemics,” PLoS ONE, vol. 17, no. 7. Public Library of Science, 2022.","mla":"Budanur, Nazmi B., and Björn Hof. “An Autonomous Compartmental Model for Accelerating Epidemics.” PLoS ONE, vol. 17, no. 7, e0269975, Public Library of Science, 2022, doi:10.1371/journal.pone.0269975.","short":"N.B. Budanur, B. Hof, PLoS ONE 17 (2022).","chicago":"Budanur, Nazmi B, and Björn Hof. “An Autonomous Compartmental Model for Accelerating Epidemics.” PLoS ONE. Public Library of Science, 2022. https://doi.org/10.1371/journal.pone.0269975."},"article_type":"original","day":"18","article_processing_charge":"No","has_accepted_license":"1","scopus_import":"1","author":[{"orcid":"0000-0003-0423-5010","id":"3EA1010E-F248-11E8-B48F-1D18A9856A87","last_name":"Budanur","first_name":"Nazmi B","full_name":"Budanur, Nazmi B"},{"orcid":"0000-0003-2057-2754","id":"3A374330-F248-11E8-B48F-1D18A9856A87","last_name":"Hof","first_name":"Björn","full_name":"Hof, Björn"}],"related_material":{"record":[{"id":"11711","relation":"research_data","status":"public"}]},"date_created":"2022-07-31T22:01:48Z","date_updated":"2023-08-03T12:24:22Z","volume":17,"year":"2022","publication_status":"published","publisher":"Public Library of Science","department":[{"_id":"BjHo"}],"file_date_updated":"2022-08-01T08:02:38Z","article_number":"e0269975","doi":"10.1371/journal.pone.0269975","language":[{"iso":"eng"}],"oa":1,"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"external_id":{"isi":["000911392100055"]},"isi":1,"quality_controlled":"1","month":"07","publication_identifier":{"eissn":["1932-6203"]}},{"tmp":{"short":"CC0 (1.0)","image":"/images/cc_0.png","legal_code_url":"https://creativecommons.org/publicdomain/zero/1.0/legalcode","name":"Creative Commons Public Domain Dedication (CC0 1.0)"},"citation":{"chicago":"Budanur, Nazmi B. “Burakbudanur/Autoacc-Public.” Zenodo, 2022. https://doi.org/10.5281/ZENODO.6802720.","mla":"Budanur, Nazmi B. Burakbudanur/Autoacc-Public. Zenodo, 2022, doi:10.5281/ZENODO.6802720.","short":"N.B. Budanur, (2022).","ista":"Budanur NB. 2022. burakbudanur/autoacc-public, Zenodo, 10.5281/ZENODO.6802720.","apa":"Budanur, N. B. (2022). burakbudanur/autoacc-public. Zenodo. https://doi.org/10.5281/ZENODO.6802720","ieee":"N. B. Budanur, “burakbudanur/autoacc-public.” Zenodo, 2022.","ama":"Budanur NB. burakbudanur/autoacc-public. 2022. doi:10.5281/ZENODO.6802720"},"main_file_link":[{"open_access":"1","url":"https://doi.org/10.5281/ZENODO.6802720"}],"oa":1,"date_published":"2022-07-06T00:00:00Z","doi":"10.5281/ZENODO.6802720","month":"07","day":"06","article_processing_charge":"No","has_accepted_license":"1","ddc":["000"],"status":"public","title":"burakbudanur/autoacc-public","department":[{"_id":"BjHo"}],"publisher":"Zenodo","user_id":"6785fbc1-c503-11eb-8a32-93094b40e1cf","_id":"11711","year":"2022","date_updated":"2023-08-03T12:24:21Z","date_created":"2022-08-01T08:06:33Z","oa_version":"Published Version","author":[{"id":"3EA1010E-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-0423-5010","first_name":"Nazmi B","last_name":"Budanur","full_name":"Budanur, Nazmi B"}],"related_material":{"record":[{"relation":"used_in_publication","status":"public","id":"11704"}]},"type":"research_data_reference","license":"https://creativecommons.org/publicdomain/zero/1.0/","abstract":[{"text":"Codes and data for reproducing the results of N. B. Budanur and B. Hof \"An autonomous compartmental model for accelerating epidemics\"","lang":"eng"}]},{"intvolume":" 32","status":"public","ddc":["530"],"title":"Crises and chaotic scattering in hydrodynamic pilot-wave experiments","_id":"12259","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","oa_version":"Published Version","file":[{"content_type":"application/pdf","file_size":3209644,"creator":"dernst","access_level":"open_access","file_name":"2022_Chaos_Choueiri.pdf","checksum":"17881eff8b21969359a2dd64620120ba","success":1,"date_created":"2023-01-30T09:41:12Z","date_updated":"2023-01-30T09:41:12Z","relation":"main_file","file_id":"12445"}],"type":"journal_article","issue":"9","abstract":[{"lang":"eng","text":"Theoretical foundations of chaos have been predominantly laid out for finite-dimensional dynamical systems, such as the three-body problem in classical mechanics and the Lorenz model in dissipative systems. In contrast, many real-world chaotic phenomena, e.g., weather, arise in systems with many (formally infinite) degrees of freedom, which limits direct quantitative analysis of such systems using chaos theory. In the present work, we demonstrate that the hydrodynamic pilot-wave systems offer a bridge between low- and high-dimensional chaotic phenomena by allowing for a systematic study of how the former connects to the latter. Specifically, we present experimental results, which show the formation of low-dimensional chaotic attractors upon destabilization of regular dynamics and a final transition to high-dimensional chaos via the merging of distinct chaotic regions through a crisis bifurcation. Moreover, we show that the post-crisis dynamics of the system can be rationalized as consecutive scatterings from the nonattracting chaotic sets with lifetimes following exponential distributions. "}],"article_type":"original","citation":{"chicago":"Choueiri, George H, Balachandra Suri, Jack Merrin, Maksym Serbyn, Björn Hof, and Nazmi B Budanur. “Crises and Chaotic Scattering in Hydrodynamic Pilot-Wave Experiments.” Chaos: An Interdisciplinary Journal of Nonlinear Science. AIP Publishing, 2022. https://doi.org/10.1063/5.0102904.","short":"G.H. Choueiri, B. Suri, J. Merrin, M. Serbyn, B. Hof, N.B. Budanur, Chaos: An Interdisciplinary Journal of Nonlinear Science 32 (2022).","mla":"Choueiri, George H., et al. “Crises and Chaotic Scattering in Hydrodynamic Pilot-Wave Experiments.” Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 32, no. 9, 093138, AIP Publishing, 2022, doi:10.1063/5.0102904.","apa":"Choueiri, G. H., Suri, B., Merrin, J., Serbyn, M., Hof, B., & Budanur, N. B. (2022). Crises and chaotic scattering in hydrodynamic pilot-wave experiments. Chaos: An Interdisciplinary Journal of Nonlinear Science. AIP Publishing. https://doi.org/10.1063/5.0102904","ieee":"G. H. Choueiri, B. Suri, J. Merrin, M. Serbyn, B. Hof, and N. B. Budanur, “Crises and chaotic scattering in hydrodynamic pilot-wave experiments,” Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 32, no. 9. AIP Publishing, 2022.","ista":"Choueiri GH, Suri B, Merrin J, Serbyn M, Hof B, Budanur NB. 2022. Crises and chaotic scattering in hydrodynamic pilot-wave experiments. Chaos: An Interdisciplinary Journal of Nonlinear Science. 32(9), 093138.","ama":"Choueiri GH, Suri B, Merrin J, Serbyn M, Hof B, Budanur NB. Crises and chaotic scattering in hydrodynamic pilot-wave experiments. Chaos: An Interdisciplinary Journal of Nonlinear Science. 2022;32(9). doi:10.1063/5.0102904"},"publication":"Chaos: An Interdisciplinary Journal of Nonlinear Science","date_published":"2022-09-26T00:00:00Z","keyword":["Applied Mathematics","General Physics and Astronomy","Mathematical Physics","Statistical and Nonlinear Physics"],"scopus_import":"1","article_processing_charge":"No","has_accepted_license":"1","day":"26","department":[{"_id":"MaSe"},{"_id":"BjHo"},{"_id":"NanoFab"}],"publisher":"AIP Publishing","publication_status":"published","year":"2022","acknowledgement":"This work was partially funded by the Institute of Science and Technology Austria Interdisciplinary Project Committee Grant “Pilot-Wave Hydrodynamics: Chaos and Quantum Analogies.”","volume":32,"date_updated":"2023-08-04T09:51:17Z","date_created":"2023-01-16T09:58:16Z","author":[{"full_name":"Choueiri, George H","id":"448BD5BC-F248-11E8-B48F-1D18A9856A87","first_name":"George H","last_name":"Choueiri"},{"first_name":"Balachandra","last_name":"Suri","id":"47A5E706-F248-11E8-B48F-1D18A9856A87","full_name":"Suri, Balachandra"},{"first_name":"Jack","last_name":"Merrin","id":"4515C308-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5145-4609","full_name":"Merrin, Jack"},{"full_name":"Serbyn, Maksym","id":"47809E7E-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-2399-5827","first_name":"Maksym","last_name":"Serbyn"},{"last_name":"Hof","first_name":"Björn","orcid":"0000-0003-2057-2754","id":"3A374330-F248-11E8-B48F-1D18A9856A87","full_name":"Hof, Björn"},{"orcid":"0000-0003-0423-5010","id":"3EA1010E-F248-11E8-B48F-1D18A9856A87","last_name":"Budanur","first_name":"Nazmi B","full_name":"Budanur, Nazmi B"}],"article_number":"093138","file_date_updated":"2023-01-30T09:41:12Z","isi":1,"quality_controlled":"1","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"external_id":{"arxiv":["2206.01531"],"isi":["000861009600005"]},"oa":1,"language":[{"iso":"eng"}],"doi":"10.1063/5.0102904","publication_identifier":{"issn":["1054-1500"],"eissn":["1089-7682"]},"month":"09"},{"citation":{"chicago":"Scarselli, Davide, Nazmi B Budanur, Marc Timme, and Björn Hof. “Discontinuous Epidemic Transition Due to Limited Testing.” Nature Communications. Springer Nature, 2021. https://doi.org/10.1038/s41467-021-22725-9.","mla":"Scarselli, Davide, et al. “Discontinuous Epidemic Transition Due to Limited Testing.” Nature Communications, vol. 12, no. 1, 2586, Springer Nature, 2021, doi:10.1038/s41467-021-22725-9.","short":"D. Scarselli, N.B. Budanur, M. Timme, B. Hof, Nature Communications 12 (2021).","ista":"Scarselli D, Budanur NB, Timme M, Hof B. 2021. Discontinuous epidemic transition due to limited testing. Nature Communications. 12(1), 2586.","ieee":"D. Scarselli, N. B. Budanur, M. Timme, and B. Hof, “Discontinuous epidemic transition due to limited testing,” Nature Communications, vol. 12, no. 1. Springer Nature, 2021.","apa":"Scarselli, D., Budanur, N. B., Timme, M., & Hof, B. (2021). Discontinuous epidemic transition due to limited testing. Nature Communications. Springer Nature. https://doi.org/10.1038/s41467-021-22725-9","ama":"Scarselli D, Budanur NB, Timme M, Hof B. Discontinuous epidemic transition due to limited testing. Nature Communications. 2021;12(1). doi:10.1038/s41467-021-22725-9"},"publication":"Nature Communications","article_type":"original","date_published":"2021-05-10T00:00:00Z","scopus_import":"1","has_accepted_license":"1","article_processing_charge":"No","day":"10","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"9407","intvolume":" 12","status":"public","ddc":["570"],"title":"Discontinuous epidemic transition due to limited testing","file":[{"relation":"main_file","file_id":"9426","date_updated":"2021-05-25T14:18:40Z","date_created":"2021-05-25T14:18:40Z","checksum":"fe26c1b8a7da1ae07a6c03f80ff06ea1","success":1,"file_name":"2021_NatureCommunications_Scarselli.pdf","access_level":"open_access","file_size":1176573,"content_type":"application/pdf","creator":"kschuh"}],"oa_version":"Published Version","type":"journal_article","issue":"1","abstract":[{"text":"High impact epidemics constitute one of the largest threats humanity is facing in the 21st century. In the absence of pharmaceutical interventions, physical distancing together with testing, contact tracing and quarantining are crucial in slowing down epidemic dynamics. Yet, here we show that if testing capacities are limited, containment may fail dramatically because such combined countermeasures drastically change the rules of the epidemic transition: Instead of continuous, the response to countermeasures becomes discontinuous. Rather than following the conventional exponential growth, the outbreak that is initially strongly suppressed eventually accelerates and scales faster than exponential during an explosive growth period. As a consequence, containment measures either suffice to stop the outbreak at low total case numbers or fail catastrophically if marginally too weak, thus implying large uncertainties in reliably estimating overall epidemic dynamics, both during initial phases and during second wave scenarios.","lang":"eng"}],"oa":1,"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"external_id":{"isi":["000687305500044"]},"isi":1,"quality_controlled":"1","doi":"10.1038/s41467-021-22725-9","language":[{"iso":"eng"}],"publication_identifier":{"eissn":["20411723"]},"month":"05","acknowledgement":"The authors thank Malte Schröder for valuable discussions and creating the scale-free network topologies. B.H. thanks Mukund Vasudevan for helpful discussion. The research by M.T. was supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany´s Excellence Strategy–EXC-2068–390729961–Cluster of Excellence Physics of Life of TU Dresden.","year":"2021","publisher":"Springer Nature","department":[{"_id":"BjHo"}],"publication_status":"published","related_material":{"link":[{"url":"https://ist.ac.at/en/news/smashing-the-covid-curve/","description":"News on IST Homepage","relation":"press_release"}]},"author":[{"full_name":"Scarselli, Davide","id":"40315C30-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5227-4271","first_name":"Davide","last_name":"Scarselli"},{"last_name":"Budanur","first_name":"Nazmi B","orcid":"0000-0003-0423-5010","id":"3EA1010E-F248-11E8-B48F-1D18A9856A87","full_name":"Budanur, Nazmi B"},{"last_name":"Timme","first_name":"Marc","full_name":"Timme, Marc"},{"full_name":"Hof, Björn","first_name":"Björn","last_name":"Hof","id":"3A374330-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-2057-2754"}],"volume":12,"date_created":"2021-05-23T22:01:42Z","date_updated":"2023-08-08T13:45:13Z","article_number":"2586","file_date_updated":"2021-05-25T14:18:40Z"},{"language":[{"iso":"eng"}],"acknowledged_ssus":[{"_id":"ScienComp"}],"doi":"10.1103/PhysRevLett.126.244502","project":[{"_id":"238598C6-32DE-11EA-91FC-C7463DDC885E","grant_number":"662960","name":"Revisiting the Turbulence Problem Using Statistical Mechanics: Experimental Studies on Transitional and Turbulent Flows"}],"quality_controlled":"1","isi":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2007.02584"}],"oa":1,"external_id":{"isi":["000663310100008"],"arxiv":["2007.02584"]},"publication_identifier":{"issn":["0031-9007"],"eissn":["1079-7114"]},"month":"06","volume":126,"date_updated":"2023-08-08T14:08:36Z","date_created":"2021-06-16T15:45:36Z","related_material":{"link":[{"relation":"press_release","description":"News on IST Homepage","url":"https://ist.ac.at/en/news/turbulent-flow-simplified/"}]},"author":[{"full_name":"Yalniz, Gökhan","first_name":"Gökhan","last_name":"Yalniz","id":"66E74FA2-D8BF-11E9-8249-8DE2E5697425","orcid":"0000-0002-8490-9312"},{"full_name":"Hof, Björn","orcid":"0000-0003-2057-2754","id":"3A374330-F248-11E8-B48F-1D18A9856A87","last_name":"Hof","first_name":"Björn"},{"full_name":"Budanur, Nazmi B","last_name":"Budanur","first_name":"Nazmi B","orcid":"0000-0003-0423-5010","id":"3EA1010E-F248-11E8-B48F-1D18A9856A87"}],"publisher":"American Physical Society","department":[{"_id":"GradSch"},{"_id":"BjHo"}],"publication_status":"published","year":"2021","acknowledgement":"We thank the referees for improving this Letter with their comments. We acknowledge stimulating discussions with\r\nH. Edelsbrunner. This work was supported by Grant No. 662960 from the Simons Foundation (B. H.). The numerical calculations were performed at TUBITAK ULAKBIM High Performance and Grid Computing Center (TRUBA resources) and IST Austria High Performance Computing cluster.","article_number":"244502","date_published":"2021-06-18T00:00:00Z","article_type":"letter_note","citation":{"short":"G. Yalniz, B. Hof, N.B. Budanur, Physical Review Letters 126 (2021).","mla":"Yalniz, Gökhan, et al. “Coarse Graining the State Space of a Turbulent Flow Using Periodic Orbits.” Physical Review Letters, vol. 126, no. 24, 244502, American Physical Society, 2021, doi:10.1103/PhysRevLett.126.244502.","chicago":"Yalniz, Gökhan, Björn Hof, and Nazmi B Budanur. “Coarse Graining the State Space of a Turbulent Flow Using Periodic Orbits.” Physical Review Letters. American Physical Society, 2021. https://doi.org/10.1103/PhysRevLett.126.244502.","ama":"Yalniz G, Hof B, Budanur NB. Coarse graining the state space of a turbulent flow using periodic orbits. Physical Review Letters. 2021;126(24). doi:10.1103/PhysRevLett.126.244502","apa":"Yalniz, G., Hof, B., & Budanur, N. B. (2021). Coarse graining the state space of a turbulent flow using periodic orbits. Physical Review Letters. American Physical Society. https://doi.org/10.1103/PhysRevLett.126.244502","ieee":"G. Yalniz, B. Hof, and N. B. Budanur, “Coarse graining the state space of a turbulent flow using periodic orbits,” Physical Review Letters, vol. 126, no. 24. American Physical Society, 2021.","ista":"Yalniz G, Hof B, Budanur NB. 2021. Coarse graining the state space of a turbulent flow using periodic orbits. Physical Review Letters. 126(24), 244502."},"publication":"Physical Review Letters","article_processing_charge":"No","day":"18","oa_version":"Preprint","intvolume":" 126","title":"Coarse graining the state space of a turbulent flow using periodic orbits","status":"public","_id":"9558","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","issue":"24","abstract":[{"text":"We show that turbulent dynamics that arise in simulations of the three-dimensional Navier--Stokes equations in a triply-periodic domain under sinusoidal forcing can be described as transient visits to the neighborhoods of unstable time-periodic solutions. Based on this description, we reduce the original system with more than 10^5 degrees of freedom to a 17-node Markov chain where each node corresponds to the neighborhood of a periodic orbit. The model accurately reproduces long-term averages of the system's observables as weighted sums over the periodic orbits.\r\n","lang":"eng"}],"type":"journal_article"},{"date_published":"2020-02-21T00:00:00Z","publication":"Physical Review Fluids","citation":{"chicago":"Budanur, Nazmi B, Elena Marensi, Ashley P. Willis, and Björn Hof. “Upper Edge of Chaos and the Energetics of Transition in Pipe Flow.” Physical Review Fluids. American Physical Society, 2020. https://doi.org/10.1103/physrevfluids.5.023903.","short":"N.B. Budanur, E. Marensi, A.P. Willis, B. Hof, Physical Review Fluids 5 (2020).","mla":"Budanur, Nazmi B., et al. “Upper Edge of Chaos and the Energetics of Transition in Pipe Flow.” Physical Review Fluids, vol. 5, no. 2, 023903, American Physical Society, 2020, doi:10.1103/physrevfluids.5.023903.","apa":"Budanur, N. B., Marensi, E., Willis, A. P., & Hof, B. (2020). Upper edge of chaos and the energetics of transition in pipe flow. Physical Review Fluids. American Physical Society. https://doi.org/10.1103/physrevfluids.5.023903","ieee":"N. B. Budanur, E. Marensi, A. P. Willis, and B. Hof, “Upper edge of chaos and the energetics of transition in pipe flow,” Physical Review Fluids, vol. 5, no. 2. American Physical Society, 2020.","ista":"Budanur NB, Marensi E, Willis AP, Hof B. 2020. Upper edge of chaos and the energetics of transition in pipe flow. Physical Review Fluids. 5(2), 023903.","ama":"Budanur NB, Marensi E, Willis AP, Hof B. Upper edge of chaos and the energetics of transition in pipe flow. Physical Review Fluids. 2020;5(2). doi:10.1103/physrevfluids.5.023903"},"article_type":"original","day":"21","article_processing_charge":"No","scopus_import":"1","oa_version":"Preprint","_id":"7534","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","title":"Upper edge of chaos and the energetics of transition in pipe flow","status":"public","intvolume":" 5","abstract":[{"lang":"eng","text":"In the past two decades, our understanding of the transition to turbulence in shear flows with linearly stable laminar solutions has greatly improved. Regarding the susceptibility of the laminar flow, two concepts have been particularly useful: the edge states and the minimal seeds. In this nonlinear picture of the transition, the basin boundary of turbulence is set by the edge state's stable manifold and this manifold comes closest in energy to the laminar equilibrium at the minimal seed. We begin this paper by presenting numerical experiments in which three-dimensional perturbations are too energetic to trigger turbulence in pipe flow but they do lead to turbulence when their amplitude is reduced. We show that this seemingly counterintuitive observation is in fact consistent with the fully nonlinear description of the transition mediated by the edge state. In order to understand the physical mechanisms behind this process, we measure the turbulent kinetic energy production and dissipation rates as a function of the radial coordinate. Our main observation is that the transition to turbulence relies on the energy amplification away from the wall, as opposed to the turbulence itself, whose energy is predominantly produced near the wall. This observation is further supported by the similar analyses on the minimal seeds and the edge states. Furthermore, we show that the time evolution of production-over-dissipation curves provides a clear distinction between the different initial amplification stages of the transition to turbulence from the minimal seed."}],"issue":"2","type":"journal_article","doi":"10.1103/physrevfluids.5.023903","language":[{"iso":"eng"}],"oa":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1912.09270"}],"external_id":{"isi":["000515065100001"],"arxiv":["1912.09270"]},"isi":1,"quality_controlled":"1","month":"02","publication_identifier":{"issn":["2469-990X"]},"author":[{"full_name":"Budanur, Nazmi B","last_name":"Budanur","first_name":"Nazmi B","orcid":"0000-0003-0423-5010","id":"3EA1010E-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Marensi","first_name":"Elena","full_name":"Marensi, Elena"},{"full_name":"Willis, Ashley P.","first_name":"Ashley P.","last_name":"Willis"},{"id":"3A374330-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-2057-2754","first_name":"Björn","last_name":"Hof","full_name":"Hof, Björn"}],"date_created":"2020-02-27T10:26:57Z","date_updated":"2023-08-18T06:44:46Z","volume":5,"year":"2020","publication_status":"published","department":[{"_id":"BjHo"}],"publisher":"American Physical Society","article_number":"023903"},{"article_number":"033109","year":"2020","publication_status":"published","publisher":"AIP Publishing","department":[{"_id":"BjHo"}],"author":[{"full_name":"Yalniz, Gökhan","first_name":"Gökhan","last_name":"Yalniz","id":"66E74FA2-D8BF-11E9-8249-8DE2E5697425","orcid":"0000-0002-8490-9312"},{"last_name":"Budanur","first_name":"Nazmi B","orcid":"0000-0003-0423-5010","id":"3EA1010E-F248-11E8-B48F-1D18A9856A87","full_name":"Budanur, Nazmi B"}],"date_updated":"2023-08-18T06:47:16Z","date_created":"2020-03-04T08:06:25Z","volume":30,"month":"03","publication_identifier":{"eissn":["1089-7682"],"issn":["1054-1500"]},"external_id":{"isi":["000519254800002"],"arxiv":["1910.04584"]},"main_file_link":[{"open_access":"1","url":"https://doi.org/10.1063/1.5122969"}],"oa":1,"quality_controlled":"1","isi":1,"doi":"10.1063/1.5122969","language":[{"iso":"eng"}],"type":"journal_article","abstract":[{"text":"We introduce “state space persistence analysis” for deducing the symbolic dynamics of time series data obtained from high-dimensional chaotic attractors. To this end, we adapt a topological data analysis technique known as persistent homology for the characterization of state space projections of chaotic trajectories and periodic orbits. By comparing the shapes along a chaotic trajectory to those of the periodic orbits, state space persistence analysis quantifies the shape similarity of chaotic trajectory segments and periodic orbits. We demonstrate the method by applying it to the three-dimensional Rössler system and a 30-dimensional discretization of the Kuramoto–Sivashinsky partial differential equation in (1+1) dimensions.\r\nOne way of studying chaotic attractors systematically is through their symbolic dynamics, in which one partitions the state space into qualitatively different regions and assigns a symbol to each such region.1–3 This yields a “coarse-grained” state space of the system, which can then be reduced to a Markov chain encoding all possible transitions between the states of the system. While it is possible to obtain the symbolic dynamics of low-dimensional chaotic systems with standard tools such as Poincaré maps, when applied to high-dimensional systems such as turbulent flows, these tools alone are not sufficient to determine symbolic dynamics.4,5 In this paper, we develop “state space persistence analysis” and demonstrate that it can be utilized to infer the symbolic dynamics in very high-dimensional settings.","lang":"eng"}],"issue":"3","_id":"7563","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","title":"Inferring symbolic dynamics of chaotic flows from persistence","status":"public","intvolume":" 30","oa_version":"Published Version","scopus_import":"1","day":"03","article_processing_charge":"No","publication":"Chaos","citation":{"ama":"Yalniz G, Budanur NB. Inferring symbolic dynamics of chaotic flows from persistence. Chaos. 2020;30(3). doi:10.1063/1.5122969","apa":"Yalniz, G., & Budanur, N. B. (2020). Inferring symbolic dynamics of chaotic flows from persistence. Chaos. AIP Publishing. https://doi.org/10.1063/1.5122969","ieee":"G. Yalniz and N. B. Budanur, “Inferring symbolic dynamics of chaotic flows from persistence,” Chaos, vol. 30, no. 3. AIP Publishing, 2020.","ista":"Yalniz G, Budanur NB. 2020. Inferring symbolic dynamics of chaotic flows from persistence. Chaos. 30(3), 033109.","short":"G. Yalniz, N.B. Budanur, Chaos 30 (2020).","mla":"Yalniz, Gökhan, and Nazmi B. Budanur. “Inferring Symbolic Dynamics of Chaotic Flows from Persistence.” Chaos, vol. 30, no. 3, 033109, AIP Publishing, 2020, doi:10.1063/1.5122969.","chicago":"Yalniz, Gökhan, and Nazmi B Budanur. “Inferring Symbolic Dynamics of Chaotic Flows from Persistence.” Chaos. AIP Publishing, 2020. https://doi.org/10.1063/1.5122969."},"article_type":"original","date_published":"2020-03-03T00:00:00Z"},{"_id":"5878","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","intvolume":" 29","title":"State space geometry of the chaotic pilot-wave hydrodynamics","status":"public","oa_version":"Preprint","type":"journal_article","issue":"1","abstract":[{"lang":"eng","text":"We consider the motion of a droplet bouncing on a vibrating bath of the same fluid in the presence of a central potential. We formulate a rotation symmetry-reduced description of this system, which allows for the straightforward application of dynamical systems theory tools. As an illustration of the utility of the symmetry reduction, we apply it to a model of the pilot-wave system with a central harmonic force. We begin our analysis by identifying local bifurcations and the onset of chaos. We then describe the emergence of chaotic regions and their merging bifurcations, which lead to the formation of a global attractor. In this final regime, the droplet’s angular momentum spontaneously changes its sign as observed in the experiments of Perrard et al."}],"citation":{"chicago":"Budanur, Nazmi B, and Marc Fleury. “State Space Geometry of the Chaotic Pilot-Wave Hydrodynamics.” Chaos: An Interdisciplinary Journal of Nonlinear Science. AIP Publishing, 2019. https://doi.org/10.1063/1.5058279.","mla":"Budanur, Nazmi B., and Marc Fleury. “State Space Geometry of the Chaotic Pilot-Wave Hydrodynamics.” Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 29, no. 1, 013122, AIP Publishing, 2019, doi:10.1063/1.5058279.","short":"N.B. Budanur, M. Fleury, Chaos: An Interdisciplinary Journal of Nonlinear Science 29 (2019).","ista":"Budanur NB, Fleury M. 2019. State space geometry of the chaotic pilot-wave hydrodynamics. Chaos: An Interdisciplinary Journal of Nonlinear Science. 29(1), 013122.","ieee":"N. B. Budanur and M. Fleury, “State space geometry of the chaotic pilot-wave hydrodynamics,” Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 29, no. 1. AIP Publishing, 2019.","apa":"Budanur, N. B., & Fleury, M. (2019). State space geometry of the chaotic pilot-wave hydrodynamics. Chaos: An Interdisciplinary Journal of Nonlinear Science. AIP Publishing. https://doi.org/10.1063/1.5058279","ama":"Budanur NB, Fleury M. State space geometry of the chaotic pilot-wave hydrodynamics. Chaos: An Interdisciplinary Journal of Nonlinear Science. 2019;29(1). doi:10.1063/1.5058279"},"publication":"Chaos: An Interdisciplinary Journal of Nonlinear Science","article_type":"original","date_published":"2019-01-22T00:00:00Z","scopus_import":"1","article_processing_charge":"No","day":"22","year":"2019","publisher":"AIP Publishing","department":[{"_id":"BjHo"}],"publication_status":"published","related_material":{"link":[{"url":"https://aip.scitation.org/doi/abs/10.1063/1.5097157","relation":"erratum"}]},"author":[{"full_name":"Budanur, Nazmi B","id":"3EA1010E-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-0423-5010","first_name":"Nazmi B","last_name":"Budanur"},{"last_name":"Fleury","first_name":"Marc","full_name":"Fleury, Marc"}],"volume":29,"date_updated":"2023-08-25T10:16:11Z","date_created":"2019-01-23T08:35:09Z","article_number":"013122","oa":1,"main_file_link":[{"url":"https://arxiv.org/abs/1812.09011","open_access":"1"}],"external_id":{"arxiv":["1812.09011"],"isi":["000457409100028"]},"isi":1,"quality_controlled":"1","doi":"10.1063/1.5058279","language":[{"iso":"eng"}],"publication_identifier":{"issn":["1054-1500"],"eissn":["1089-7682"]},"month":"01"},{"doi":"10.1103/PhysRevFluids.4.102401","acknowledged_ssus":[{"_id":"ScienComp"}],"language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1810.02211"}],"oa":1,"external_id":{"isi":["000493510400001"],"arxiv":["1810.02211"]},"quality_controlled":"1","isi":1,"month":"10","author":[{"first_name":"Nazmi B","last_name":"Budanur","id":"3EA1010E-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-0423-5010","full_name":"Budanur, Nazmi B"},{"full_name":"Dogra, Akshunna","first_name":"Akshunna","last_name":"Dogra"},{"full_name":"Hof, Björn","orcid":"0000-0003-2057-2754","id":"3A374330-F248-11E8-B48F-1D18A9856A87","last_name":"Hof","first_name":"Björn"}],"date_created":"2019-11-04T10:04:01Z","date_updated":"2023-08-30T07:20:03Z","volume":4,"year":"2019","publication_status":"published","department":[{"_id":"BjHo"}],"publisher":"American Physical Society","date_published":"2019-10-01T00:00:00Z","publication":"Physical Review Fluids","citation":{"chicago":"Budanur, Nazmi B, Akshunna Dogra, and Björn Hof. “Geometry of Transient Chaos in Streamwise-Localized Pipe Flow Turbulence.” Physical Review Fluids. American Physical Society, 2019. https://doi.org/10.1103/PhysRevFluids.4.102401.","short":"N.B. Budanur, A. Dogra, B. Hof, Physical Review Fluids 4 (2019) 102401.","mla":"Budanur, Nazmi B., et al. “Geometry of Transient Chaos in Streamwise-Localized Pipe Flow Turbulence.” Physical Review Fluids, vol. 4, no. 10, American Physical Society, 2019, p. 102401, doi:10.1103/PhysRevFluids.4.102401.","apa":"Budanur, N. B., Dogra, A., & Hof, B. (2019). Geometry of transient chaos in streamwise-localized pipe flow turbulence. Physical Review Fluids. American Physical Society. https://doi.org/10.1103/PhysRevFluids.4.102401","ieee":"N. B. Budanur, A. Dogra, and B. Hof, “Geometry of transient chaos in streamwise-localized pipe flow turbulence,” Physical Review Fluids, vol. 4, no. 10. American Physical Society, p. 102401, 2019.","ista":"Budanur NB, Dogra A, Hof B. 2019. Geometry of transient chaos in streamwise-localized pipe flow turbulence. Physical Review Fluids. 4(10), 102401.","ama":"Budanur NB, Dogra A, Hof B. Geometry of transient chaos in streamwise-localized pipe flow turbulence. Physical Review Fluids. 2019;4(10):102401. doi:10.1103/PhysRevFluids.4.102401"},"article_type":"original","page":"102401","day":"01","article_processing_charge":"No","scopus_import":"1","oa_version":"Preprint","_id":"6978","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","status":"public","title":"Geometry of transient chaos in streamwise-localized pipe flow turbulence","intvolume":" 4","abstract":[{"lang":"eng","text":"In pipes and channels, the onset of turbulence is initially dominated by localizedtransients, which lead to sustained turbulence through their collective dynamics. In thepresent work, we study numerically the localized turbulence in pipe flow and elucidate astate space structure that gives rise to transient chaos. Starting from the basin boundaryseparating laminar and turbulent flow, we identify transverse homoclinic orbits, thepresence of which necessitates a homoclinic tangle and chaos. A direct consequence ofthe homoclinic tangle is the fractal nature of the laminar-turbulent boundary, which wasconjectured in various earlier studies. By mapping the transverse intersections between thestable and unstable manifold of a periodic orbit, we identify the gateways that promote anescape from turbulence."}],"issue":"10","type":"journal_article"},{"date_published":"2019-12-17T00:00:00Z","article_type":"original","citation":{"short":"P.R. Dos Santos Caldas, M.D. Lopez Pelegrin, D.J.G. Pearce, N.B. Budanur, J. Brugués, M. Loose, Nature Communications 10 (2019).","mla":"Dos Santos Caldas, Paulo R., et al. “Cooperative Ordering of Treadmilling Filaments in Cytoskeletal Networks of FtsZ and Its Crosslinker ZapA.” Nature Communications, vol. 10, 5744, Springer Nature, 2019, doi:10.1038/s41467-019-13702-4.","chicago":"Dos Santos Caldas, Paulo R, Maria D Lopez Pelegrin, Daniel J. G. Pearce, Nazmi B Budanur, Jan Brugués, and Martin Loose. “Cooperative Ordering of Treadmilling Filaments in Cytoskeletal Networks of FtsZ and Its Crosslinker ZapA.” Nature Communications. Springer Nature, 2019. https://doi.org/10.1038/s41467-019-13702-4.","ama":"Dos Santos Caldas PR, Lopez Pelegrin MD, Pearce DJG, Budanur NB, Brugués J, Loose M. Cooperative ordering of treadmilling filaments in cytoskeletal networks of FtsZ and its crosslinker ZapA. Nature Communications. 2019;10. doi:10.1038/s41467-019-13702-4","apa":"Dos Santos Caldas, P. R., Lopez Pelegrin, M. D., Pearce, D. J. G., Budanur, N. B., Brugués, J., & Loose, M. (2019). Cooperative ordering of treadmilling filaments in cytoskeletal networks of FtsZ and its crosslinker ZapA. Nature Communications. Springer Nature. https://doi.org/10.1038/s41467-019-13702-4","ieee":"P. R. Dos Santos Caldas, M. D. Lopez Pelegrin, D. J. G. Pearce, N. B. Budanur, J. Brugués, and M. Loose, “Cooperative ordering of treadmilling filaments in cytoskeletal networks of FtsZ and its crosslinker ZapA,” Nature Communications, vol. 10. Springer Nature, 2019.","ista":"Dos Santos Caldas PR, Lopez Pelegrin MD, Pearce DJG, Budanur NB, Brugués J, Loose M. 2019. Cooperative ordering of treadmilling filaments in cytoskeletal networks of FtsZ and its crosslinker ZapA. Nature Communications. 10, 5744."},"publication":"Nature Communications","has_accepted_license":"1","article_processing_charge":"No","day":"17","scopus_import":"1","oa_version":"Published Version","file":[{"checksum":"a1b44b427ba341383197790d0e8789fa","date_updated":"2020-07-14T12:47:53Z","date_created":"2019-12-23T07:34:56Z","file_id":"7208","relation":"main_file","creator":"dernst","content_type":"application/pdf","file_size":8488733,"access_level":"open_access","file_name":"2019_NatureComm_Caldas.pdf"}],"intvolume":" 10","ddc":["570"],"status":"public","title":"Cooperative ordering of treadmilling filaments in cytoskeletal networks of FtsZ and its crosslinker ZapA","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"7197","abstract":[{"lang":"eng","text":"During bacterial cell division, the tubulin-homolog FtsZ forms a ring-like structure at the center of the cell. This Z-ring not only organizes the division machinery, but treadmilling of FtsZ filaments was also found to play a key role in distributing proteins at the division site. What regulates the architecture, dynamics and stability of the Z-ring is currently unknown, but FtsZ-associated proteins are known to play an important role. Here, using an in vitro reconstitution approach, we studied how the well-conserved protein ZapA affects FtsZ treadmilling and filament organization into large-scale patterns. Using high-resolution fluorescence microscopy and quantitative image analysis, we found that ZapA cooperatively increases the spatial order of the filament network, but binds only transiently to FtsZ filaments and has no effect on filament length and treadmilling velocity. Together, our data provides a model for how FtsZ-associated proteins can increase the precision and stability of the bacterial cell division machinery in a switch-like manner."}],"type":"journal_article","language":[{"iso":"eng"}],"acknowledged_ssus":[{"_id":"LifeSc"},{"_id":"Bio"}],"doi":"10.1038/s41467-019-13702-4","project":[{"call_identifier":"H2020","name":"Self-Organization of the Bacterial Cell","grant_number":"679239","_id":"2595697A-B435-11E9-9278-68D0E5697425"},{"_id":"260D98C8-B435-11E9-9278-68D0E5697425","name":"Reconstitution of Bacterial Cell Division Using Purified Components"}],"quality_controlled":"1","isi":1,"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"oa":1,"external_id":{"isi":["000503009300001"]},"publication_identifier":{"issn":["2041-1723"]},"month":"12","volume":10,"date_created":"2019-12-20T12:22:57Z","date_updated":"2023-09-07T13:18:51Z","related_material":{"record":[{"id":"8358","relation":"dissertation_contains","status":"public"}]},"author":[{"orcid":"0000-0001-6730-4461","id":"38FCDB4C-F248-11E8-B48F-1D18A9856A87","last_name":"Dos Santos Caldas","first_name":"Paulo R","full_name":"Dos Santos Caldas, Paulo R"},{"first_name":"Maria D","last_name":"Lopez Pelegrin","id":"319AA9CE-F248-11E8-B48F-1D18A9856A87","full_name":"Lopez Pelegrin, Maria D"},{"full_name":"Pearce, Daniel J. G.","first_name":"Daniel J. G.","last_name":"Pearce"},{"orcid":"0000-0003-0423-5010","id":"3EA1010E-F248-11E8-B48F-1D18A9856A87","last_name":"Budanur","first_name":"Nazmi B","full_name":"Budanur, Nazmi B"},{"full_name":"Brugués, Jan","first_name":"Jan","last_name":"Brugués"},{"orcid":"0000-0001-7309-9724","id":"462D4284-F248-11E8-B48F-1D18A9856A87","last_name":"Loose","first_name":"Martin","full_name":"Loose, Martin"}],"department":[{"_id":"MaLo"},{"_id":"BjHo"}],"publisher":"Springer Nature","publication_status":"published","year":"2019","ec_funded":1,"file_date_updated":"2020-07-14T12:47:53Z","article_number":"5744"},{"year":"2018","publisher":"American Physical Society","department":[{"_id":"BjHo"}],"publication_status":"published","author":[{"full_name":"Budanur, Nazmi B","id":"3EA1010E-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-0423-5010","first_name":"Nazmi B","last_name":"Budanur"},{"orcid":"0000-0003-2057-2754","id":"3A374330-F248-11E8-B48F-1D18A9856A87","last_name":"Hof","first_name":"Björn","full_name":"Hof, Björn"}],"volume":3,"date_created":"2018-12-11T11:45:39Z","date_updated":"2023-09-11T12:45:44Z","article_number":"054401","publist_id":"7590","oa":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1802.01918"}],"external_id":{"arxiv":["1802.01918"],"isi":["000433426200001"]},"quality_controlled":"1","isi":1,"doi":"10.1103/PhysRevFluids.3.054401","language":[{"iso":"eng"}],"month":"05","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"291","intvolume":" 3","status":"public","title":"Complexity of the laminar-turbulent boundary in pipe flow","oa_version":"Preprint","type":"journal_article","issue":"5","abstract":[{"text":"Over the past decade, the edge of chaos has proven to be a fruitful starting point for investigations of shear flows when the laminar base flow is linearly stable. Numerous computational studies of shear flows demonstrated the existence of states that separate laminar and turbulent regions of the state space. In addition, some studies determined invariant solutions that reside on this edge. In this paper, we study the unstable manifold of one such solution with the aid of continuous symmetry reduction, which we formulate here for the simultaneous quotiening of axial and azimuthal symmetries. Upon our investigation of the unstable manifold, we discover a previously unknown traveling-wave solution on the laminar-turbulent boundary with a relatively complex structure. By means of low-dimensional projections, we visualize different dynamical paths that connect these solutions to the turbulence. Our numerical experiments demonstrate that the laminar-turbulent boundary exhibits qualitatively different regions whose properties are influenced by the nearby invariant solutions.","lang":"eng"}],"citation":{"apa":"Budanur, N. B., & Hof, B. (2018). Complexity of the laminar-turbulent boundary in pipe flow. Physical Review Fluids. American Physical Society. https://doi.org/10.1103/PhysRevFluids.3.054401","ieee":"N. B. Budanur and B. Hof, “Complexity of the laminar-turbulent boundary in pipe flow,” Physical Review Fluids, vol. 3, no. 5. American Physical Society, 2018.","ista":"Budanur NB, Hof B. 2018. Complexity of the laminar-turbulent boundary in pipe flow. Physical Review Fluids. 3(5), 054401.","ama":"Budanur NB, Hof B. Complexity of the laminar-turbulent boundary in pipe flow. Physical Review Fluids. 2018;3(5). doi:10.1103/PhysRevFluids.3.054401","chicago":"Budanur, Nazmi B, and Björn Hof. “Complexity of the Laminar-Turbulent Boundary in Pipe Flow.” Physical Review Fluids. American Physical Society, 2018. https://doi.org/10.1103/PhysRevFluids.3.054401.","short":"N.B. Budanur, B. Hof, Physical Review Fluids 3 (2018).","mla":"Budanur, Nazmi B., and Björn Hof. “Complexity of the Laminar-Turbulent Boundary in Pipe Flow.” Physical Review Fluids, vol. 3, no. 5, 054401, American Physical Society, 2018, doi:10.1103/PhysRevFluids.3.054401."},"publication":"Physical Review Fluids","date_published":"2018-05-30T00:00:00Z","scopus_import":"1","article_processing_charge":"No","day":"30"},{"ec_funded":1,"publist_id":"7360","author":[{"full_name":"Kühnen, Jakob","first_name":"Jakob","last_name":"Kühnen","id":"3A47AE32-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-4312-0179"},{"last_name":"Song","first_name":"Baofang","full_name":"Song, Baofang"},{"id":"40315C30-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5227-4271","first_name":"Davide","last_name":"Scarselli","full_name":"Scarselli, Davide"},{"orcid":"0000-0003-0423-5010","id":"3EA1010E-F248-11E8-B48F-1D18A9856A87","last_name":"Budanur","first_name":"Nazmi B","full_name":"Budanur, Nazmi B"},{"full_name":"Riedl, Michael","last_name":"Riedl","first_name":"Michael","orcid":"0000-0003-4844-6311","id":"3BE60946-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Ashley","last_name":"Willis","full_name":"Willis, Ashley"},{"full_name":"Avila, Marc","last_name":"Avila","first_name":"Marc"},{"orcid":"0000-0003-2057-2754","id":"3A374330-F248-11E8-B48F-1D18A9856A87","last_name":"Hof","first_name":"Björn","full_name":"Hof, Björn"}],"related_material":{"record":[{"id":"12726","relation":"dissertation_contains","status":"public"},{"status":"public","relation":"dissertation_contains","id":"14530"},{"id":"7258","status":"public","relation":"dissertation_contains"}]},"date_updated":"2024-03-28T23:30:36Z","date_created":"2018-12-11T11:46:36Z","volume":14,"year":"2018","acknowledgement":"We acknowledge the European Research Council under the European Union’s Seventh Framework Programme (FP/2007-2013)/ERC Grant Agreement 306589, the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement no. 737549) and the Deutsche Forschungsgemeinschaft (Project No. FOR 1182) for financial support. We thank our technician P. Maier for providing highly valuable ideas and greatly supporting us in all technical aspects. We thank M. Schaner for technical drawings, construction and design. We thank M. Schwegel for a Matlab code to post-process experimental data.","publication_status":"published","department":[{"_id":"BjHo"}],"publisher":"Nature Publishing Group","month":"01","doi":"10.1038/s41567-017-0018-3","language":[{"iso":"eng"}],"external_id":{"isi":["000429434100020"]},"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1711.06543"}],"oa":1,"quality_controlled":"1","isi":1,"project":[{"name":"Decoding the complexity of turbulence at its origin","call_identifier":"FP7","_id":"25152F3A-B435-11E9-9278-68D0E5697425","grant_number":"306589"},{"_id":"25104D44-B435-11E9-9278-68D0E5697425","grant_number":"737549","name":"Eliminating turbulence in oil pipelines","call_identifier":"H2020"}],"abstract":[{"text":"Turbulence is the major cause of friction losses in transport processes and it is responsible for a drastic drag increase in flows over bounding surfaces. While much effort is invested into developing ways to control and reduce turbulence intensities, so far no methods exist to altogether eliminate turbulence if velocities are sufficiently large. We demonstrate for pipe flow that appropriate distortions to the velocity profile lead to a complete collapse of turbulence and subsequently friction losses are reduced by as much as 90%. Counterintuitively, the return to laminar motion is accomplished by initially increasing turbulence intensities or by transiently amplifying wall shear. Since neither the Reynolds number nor the shear stresses decrease (the latter often increase), these measures are not indicative of turbulence collapse. Instead, an amplification mechanism measuring the interaction between eddies and the mean shear is found to set a threshold below which turbulence is suppressed beyond recovery.","lang":"eng"}],"type":"journal_article","oa_version":"Preprint","_id":"461","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","title":"Destabilizing turbulence in pipe flow","status":"public","intvolume":" 14","day":"08","article_processing_charge":"No","scopus_import":"1","date_published":"2018-01-08T00:00:00Z","publication":"Nature Physics","citation":{"ama":"Kühnen J, Song B, Scarselli D, et al. Destabilizing turbulence in pipe flow. Nature Physics. 2018;14:386-390. doi:10.1038/s41567-017-0018-3","ieee":"J. Kühnen et al., “Destabilizing turbulence in pipe flow,” Nature Physics, vol. 14. Nature Publishing Group, pp. 386–390, 2018.","apa":"Kühnen, J., Song, B., Scarselli, D., Budanur, N. B., Riedl, M., Willis, A., … Hof, B. (2018). Destabilizing turbulence in pipe flow. Nature Physics. Nature Publishing Group. https://doi.org/10.1038/s41567-017-0018-3","ista":"Kühnen J, Song B, Scarselli D, Budanur NB, Riedl M, Willis A, Avila M, Hof B. 2018. Destabilizing turbulence in pipe flow. Nature Physics. 14, 386–390.","short":"J. Kühnen, B. Song, D. Scarselli, N.B. Budanur, M. Riedl, A. Willis, M. Avila, B. Hof, Nature Physics 14 (2018) 386–390.","mla":"Kühnen, Jakob, et al. “Destabilizing Turbulence in Pipe Flow.” Nature Physics, vol. 14, Nature Publishing Group, 2018, pp. 386–90, doi:10.1038/s41567-017-0018-3.","chicago":"Kühnen, Jakob, Baofang Song, Davide Scarselli, Nazmi B Budanur, Michael Riedl, Ashley Willis, Marc Avila, and Björn Hof. “Destabilizing Turbulence in Pipe Flow.” Nature Physics. Nature Publishing Group, 2018. https://doi.org/10.1038/s41567-017-0018-3."},"page":"386-390"},{"abstract":[{"lang":"eng","text":"Systems such as fluid flows in channels and pipes or the complex Ginzburg–Landau system, defined over periodic domains, exhibit both continuous symmetries, translational and rotational, as well as discrete symmetries under spatial reflections or complex conjugation. The simplest, and very common symmetry of this type is the equivariance of the defining equations under the orthogonal group O(2). We formulate a novel symmetry reduction scheme for such systems by combining the method of slices with invariant polynomial methods, and show how it works by applying it to the Kuramoto–Sivashinsky system in one spatial dimension. As an example, we track a relative periodic orbit through a sequence of bifurcations to the onset of chaos. Within the symmetry-reduced state space we are able to compute and visualize the unstable manifolds of relative periodic orbits, their torus bifurcations, a transition to chaos via torus breakdown, and heteroclinic connections between various relative periodic orbits. It would be very hard to carry through such analysis in the full state space, without a symmetry reduction such as the one we present here."}],"issue":"3-4","type":"journal_article","pubrep_id":"782","oa_version":"Submitted Version","file":[{"file_id":"5319","relation":"main_file","date_updated":"2020-07-14T12:44:39Z","date_created":"2018-12-12T10:18:01Z","checksum":"3e971d09eb167761aa0888ed415b0056","file_name":"IST-2017-782-v1+1_BudCvi15.pdf","access_level":"open_access","creator":"system","file_size":2820207,"content_type":"application/pdf"}],"_id":"1211","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","status":"public","title":"Unstable manifolds of relative periodic orbits in the symmetry reduced state space of the Kuramoto–Sivashinsky system","ddc":["530"],"intvolume":" 167","day":"01","has_accepted_license":"1","scopus_import":1,"date_published":"2017-05-01T00:00:00Z","publication":"Journal of Statistical Physics","citation":{"ista":"Budanur NB, Cvitanović P. 2017. Unstable manifolds of relative periodic orbits in the symmetry reduced state space of the Kuramoto–Sivashinsky system. Journal of Statistical Physics. 167(3–4), 636–655.","ieee":"N. B. Budanur and P. Cvitanović, “Unstable manifolds of relative periodic orbits in the symmetry reduced state space of the Kuramoto–Sivashinsky system,” Journal of Statistical Physics, vol. 167, no. 3–4. Springer, pp. 636–655, 2017.","apa":"Budanur, N. B., & Cvitanović, P. (2017). Unstable manifolds of relative periodic orbits in the symmetry reduced state space of the Kuramoto–Sivashinsky system. Journal of Statistical Physics. Springer. https://doi.org/10.1007/s10955-016-1672-z","ama":"Budanur NB, Cvitanović P. Unstable manifolds of relative periodic orbits in the symmetry reduced state space of the Kuramoto–Sivashinsky system. Journal of Statistical Physics. 2017;167(3-4):636-655. doi:10.1007/s10955-016-1672-z","chicago":"Budanur, Nazmi B, and Predrag Cvitanović. “Unstable Manifolds of Relative Periodic Orbits in the Symmetry Reduced State Space of the Kuramoto–Sivashinsky System.” Journal of Statistical Physics. Springer, 2017. https://doi.org/10.1007/s10955-016-1672-z.","mla":"Budanur, Nazmi B., and Predrag Cvitanović. “Unstable Manifolds of Relative Periodic Orbits in the Symmetry Reduced State Space of the Kuramoto–Sivashinsky System.” Journal of Statistical Physics, vol. 167, no. 3–4, Springer, 2017, pp. 636–55, doi:10.1007/s10955-016-1672-z.","short":"N.B. Budanur, P. Cvitanović, Journal of Statistical Physics 167 (2017) 636–655."},"page":"636-655","file_date_updated":"2020-07-14T12:44:39Z","publist_id":"6136","author":[{"full_name":"Budanur, Nazmi B","id":"3EA1010E-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-0423-5010","first_name":"Nazmi B","last_name":"Budanur"},{"full_name":"Cvitanović, Predrag","last_name":"Cvitanović","first_name":"Predrag"}],"date_created":"2018-12-11T11:50:44Z","date_updated":"2021-01-12T06:49:07Z","volume":167,"year":"2017","acknowledgement":"This work was supported by the family of late G. Robinson, Jr. and NSF Grant DMS-1211827. ","publication_status":"published","department":[{"_id":"BjHo"}],"publisher":"Springer","month":"05","doi":"10.1007/s10955-016-1672-z","language":[{"iso":"eng"}],"oa":1,"quality_controlled":"1"},{"scopus_import":"1","day":"25","article_processing_charge":"No","publication":"Journal of Fluid Mechanics","citation":{"mla":"Budanur, Nazmi B., et al. “Relative Periodic Orbits Form the Backbone of Turbulent Pipe Flow.” Journal of Fluid Mechanics, vol. 833, Cambridge University Press, 2017, pp. 274–301, doi:10.1017/jfm.2017.699.","short":"N.B. Budanur, K. Short, M. Farazmand, A. Willis, P. Cvitanović, Journal of Fluid Mechanics 833 (2017) 274–301.","chicago":"Budanur, Nazmi B, Kimberly Short, Mohammad Farazmand, Ashley Willis, and Predrag Cvitanović. “Relative Periodic Orbits Form the Backbone of Turbulent Pipe Flow.” Journal of Fluid Mechanics. Cambridge University Press, 2017. https://doi.org/10.1017/jfm.2017.699.","ama":"Budanur NB, Short K, Farazmand M, Willis A, Cvitanović P. Relative periodic orbits form the backbone of turbulent pipe flow. Journal of Fluid Mechanics. 2017;833:274-301. doi:10.1017/jfm.2017.699","ista":"Budanur NB, Short K, Farazmand M, Willis A, Cvitanović P. 2017. Relative periodic orbits form the backbone of turbulent pipe flow. Journal of Fluid Mechanics. 833, 274–301.","apa":"Budanur, N. B., Short, K., Farazmand, M., Willis, A., & Cvitanović, P. (2017). Relative periodic orbits form the backbone of turbulent pipe flow. Journal of Fluid Mechanics. Cambridge University Press. https://doi.org/10.1017/jfm.2017.699","ieee":"N. B. Budanur, K. Short, M. Farazmand, A. Willis, and P. Cvitanović, “Relative periodic orbits form the backbone of turbulent pipe flow,” Journal of Fluid Mechanics, vol. 833. Cambridge University Press, pp. 274–301, 2017."},"page":"274 - 301","date_published":"2017-12-25T00:00:00Z","type":"journal_article","abstract":[{"lang":"eng","text":"The chaotic dynamics of low-dimensional systems, such as Lorenz or Rössler flows, is guided by the infinity of periodic orbits embedded in their strange attractors. Whether this is also the case for the infinite-dimensional dynamics of Navier–Stokes equations has long been speculated, and is a topic of ongoing study. Periodic and relative periodic solutions have been shown to be involved in transitions to turbulence. Their relevance to turbulent dynamics – specifically, whether periodic orbits play the same role in high-dimensional nonlinear systems like the Navier–Stokes equations as they do in lower-dimensional systems – is the focus of the present investigation. We perform here a detailed study of pipe flow relative periodic orbits with energies and mean dissipations close to turbulent values. We outline several approaches to reduction of the translational symmetry of the system. We study pipe flow in a minimal computational cell at Re=2500, and report a library of invariant solutions found with the aid of the method of slices. Detailed study of the unstable manifolds of a sample of these solutions is consistent with the picture that relative periodic orbits are embedded in the chaotic saddle and that they guide the turbulent dynamics."}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"792","status":"public","title":"Relative periodic orbits form the backbone of turbulent pipe flow","intvolume":" 833","oa_version":"Submitted Version","month":"12","publication_identifier":{"issn":["00221120"]},"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1705.03720"}],"oa":1,"external_id":{"isi":["000414641700001"]},"quality_controlled":"1","isi":1,"project":[{"grant_number":"11-NSF-1070","_id":"25636330-B435-11E9-9278-68D0E5697425","name":"ROOTS Genome-wide Analysis of Root Traits"}],"doi":"10.1017/jfm.2017.699","language":[{"iso":"eng"}],"publist_id":"6862","year":"2017","publication_status":"published","publisher":"Cambridge University Press","department":[{"_id":"BjHo"}],"author":[{"full_name":"Budanur, Nazmi B","last_name":"Budanur","first_name":"Nazmi B","orcid":"0000-0003-0423-5010","id":"3EA1010E-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Short, Kimberly","first_name":"Kimberly","last_name":"Short"},{"last_name":"Farazmand","first_name":"Mohammad","full_name":"Farazmand, Mohammad"},{"first_name":"Ashley","last_name":"Willis","full_name":"Willis, Ashley"},{"full_name":"Cvitanović, Predrag","last_name":"Cvitanović","first_name":"Predrag"}],"date_created":"2018-12-11T11:48:32Z","date_updated":"2023-09-27T12:17:35Z","volume":833},{"isi":1,"quality_controlled":"1","oa":1,"external_id":{"isi":["000408326300001"]},"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1703.10484"}],"language":[{"iso":"eng"}],"doi":"10.1017/jfm.2017.516","publication_identifier":{"issn":["00221120"]},"month":"08","publisher":"Cambridge University Press","department":[{"_id":"BjHo"}],"publication_status":"published","year":"2017","volume":827,"date_created":"2018-12-11T11:48:42Z","date_updated":"2023-09-26T16:17:43Z","author":[{"id":"3EA1010E-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-0423-5010","first_name":"Nazmi B","last_name":"Budanur","full_name":"Budanur, Nazmi B"},{"last_name":"Hof","first_name":"Björn","orcid":"0000-0003-2057-2754","id":"3A374330-F248-11E8-B48F-1D18A9856A87","full_name":"Hof, Björn"}],"article_number":"R1","publist_id":"6824","citation":{"chicago":"Budanur, Nazmi B, and Björn Hof. “Heteroclinic Path to Spatially Localized Chaos in Pipe Flow.” Journal of Fluid Mechanics. Cambridge University Press, 2017. https://doi.org/10.1017/jfm.2017.516.","mla":"Budanur, Nazmi B., and Björn Hof. “Heteroclinic Path to Spatially Localized Chaos in Pipe Flow.” Journal of Fluid Mechanics, vol. 827, R1, Cambridge University Press, 2017, doi:10.1017/jfm.2017.516.","short":"N.B. Budanur, B. Hof, Journal of Fluid Mechanics 827 (2017).","ista":"Budanur NB, Hof B. 2017. Heteroclinic path to spatially localized chaos in pipe flow. Journal of Fluid Mechanics. 827, R1.","apa":"Budanur, N. B., & Hof, B. (2017). Heteroclinic path to spatially localized chaos in pipe flow. Journal of Fluid Mechanics. Cambridge University Press. https://doi.org/10.1017/jfm.2017.516","ieee":"N. B. Budanur and B. Hof, “Heteroclinic path to spatially localized chaos in pipe flow,” Journal of Fluid Mechanics, vol. 827. Cambridge University Press, 2017.","ama":"Budanur NB, Hof B. Heteroclinic path to spatially localized chaos in pipe flow. Journal of Fluid Mechanics. 2017;827. doi:10.1017/jfm.2017.516"},"publication":"Journal of Fluid Mechanics","date_published":"2017-08-18T00:00:00Z","scopus_import":"1","article_processing_charge":"No","day":"18","intvolume":" 827","title":"Heteroclinic path to spatially localized chaos in pipe flow","status":"public","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"824","oa_version":"Submitted Version","type":"journal_article","abstract":[{"text":"In shear flows at transitional Reynolds numbers, localized patches of turbulence, known as puffs, coexist with the laminar flow. Recently, Avila et al. (Phys. Rev. Lett., vol. 110, 2013, 224502) discovered two spatially localized relative periodic solutions for pipe flow, which appeared in a saddle-node bifurcation at low Reynolds number. Combining slicing methods for continuous symmetry reduction with Poincaré sections for the first time in a shear flow setting, we compute and visualize the unstable manifold of the lower-branch solution and show that it extends towards the neighbourhood of the upper-branch solution. Surprisingly, this connection even persists far above the bifurcation point and appears to mediate the first stage of the puff generation: amplification of streamwise localized fluctuations. When the state-space trajectories on the unstable manifold reach the vicinity of the upper branch, corresponding fluctuations expand in space and eventually take the usual shape of a puff.","lang":"eng"}]}]