{"_id":"6779","year":"2019","quality_controlled":"1","doi":"10.1103/physreve.100.013112","date_updated":"2024-02-28T13:13:00Z","author":[{"first_name":"Balachandra","id":"47A5E706-F248-11E8-B48F-1D18A9856A87","last_name":"Suri","full_name":"Suri, Balachandra"},{"last_name":"Pallantla","first_name":"Ravi Kumar","full_name":"Pallantla, Ravi Kumar"},{"first_name":"Michael F.","last_name":"Schatz","full_name":"Schatz, Michael F."},{"last_name":"Grigoriev","first_name":"Roman O.","full_name":"Grigoriev, Roman O."}],"external_id":{"arxiv":["1907.05860"],"isi":["000477911800012"]},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","status":"public","publication_status":"published","isi":1,"citation":{"ista":"Suri B, Pallantla RK, Schatz MF, Grigoriev RO. 2019. Heteroclinic and homoclinic connections in a Kolmogorov-like flow. Physical Review E. 100(1), 013112.","mla":"Suri, Balachandra, et al. “Heteroclinic and Homoclinic Connections in a Kolmogorov-like Flow.” <i>Physical Review E</i>, vol. 100, no. 1, 013112, American Physical Society, 2019, doi:<a href=\"https://doi.org/10.1103/physreve.100.013112\">10.1103/physreve.100.013112</a>.","ama":"Suri B, Pallantla RK, Schatz MF, Grigoriev RO. Heteroclinic and homoclinic connections in a Kolmogorov-like flow. <i>Physical Review E</i>. 2019;100(1). doi:<a href=\"https://doi.org/10.1103/physreve.100.013112\">10.1103/physreve.100.013112</a>","chicago":"Suri, Balachandra, Ravi Kumar Pallantla, Michael F. Schatz, and Roman O. Grigoriev. “Heteroclinic and Homoclinic Connections in a Kolmogorov-like Flow.” <i>Physical Review E</i>. American Physical Society, 2019. <a href=\"https://doi.org/10.1103/physreve.100.013112\">https://doi.org/10.1103/physreve.100.013112</a>.","apa":"Suri, B., Pallantla, R. K., Schatz, M. F., &#38; Grigoriev, R. O. (2019). Heteroclinic and homoclinic connections in a Kolmogorov-like flow. <i>Physical Review E</i>. American Physical Society. <a href=\"https://doi.org/10.1103/physreve.100.013112\">https://doi.org/10.1103/physreve.100.013112</a>","ieee":"B. Suri, R. K. Pallantla, M. F. Schatz, and R. O. Grigoriev, “Heteroclinic and homoclinic connections in a Kolmogorov-like flow,” <i>Physical Review E</i>, vol. 100, no. 1. American Physical Society, 2019.","short":"B. Suri, R.K. Pallantla, M.F. Schatz, R.O. Grigoriev, Physical Review E 100 (2019)."},"publication":"Physical Review E","month":"07","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1907.05860"}],"scopus_import":"1","volume":100,"ddc":["532"],"day":"25","issue":"1","intvolume":"       100","project":[{"call_identifier":"FP7","_id":"25681D80-B435-11E9-9278-68D0E5697425","grant_number":"291734","name":"International IST Postdoc Fellowship Programme"}],"language":[{"iso":"eng"}],"date_created":"2019-08-09T09:40:41Z","publication_identifier":{"issn":["2470-0045"],"eissn":["2470-0053"]},"title":"Heteroclinic and homoclinic connections in a Kolmogorov-like flow","article_processing_charge":"No","department":[{"_id":"BjHo"}],"date_published":"2019-07-25T00:00:00Z","oa_version":"Preprint","abstract":[{"text":"Recent studies suggest that unstable recurrent solutions of the Navier-Stokes equation provide new insights\r\ninto dynamics of turbulent flows. In this study, we compute an extensive network of dynamical connections\r\nbetween such solutions in a weakly turbulent quasi-two-dimensional Kolmogorov flow that lies in the inversion symmetric subspace. In particular, we find numerous isolated heteroclinic connections between different\r\ntypes of solutions—equilibria, periodic, and quasiperiodic orbits—as well as continua of connections forming\r\nhigher-dimensional connecting manifolds. We also compute a homoclinic connection of a periodic orbit and\r\nprovide strong evidence that the associated homoclinic tangle forms the chaotic repeller that underpins transient\r\nturbulence in the symmetric subspace.","lang":"eng"}],"ec_funded":1,"oa":1,"type":"journal_article","publisher":"American Physical Society","article_type":"original","article_number":"013112"}