--- _id: '519' abstract: - lang: eng text: 'This study treats with the influence of a symmetry-breaking transversal magnetic field on the nonlinear dynamics of ferrofluidic Taylor-Couette flow – flow confined between two concentric independently rotating cylinders. We detected alternating ‘flip’ solutions which are flow states featuring typical characteristics of slow-fast-dynamics in dynamical systems. The flip corresponds to a temporal change in the axial wavenumber and we find them to appear either as pure 2-fold axisymmetric (due to the symmetry-breaking nature of the applied transversal magnetic field) or involving non-axisymmetric, helical modes in its interim solution. The latter ones show features of typical ribbon solutions. In any case the flip solutions have a preferential first axial wavenumber which corresponds to the more stable state (slow dynamics) and second axial wavenumber, corresponding to the short appearing more unstable state (fast dynamics). However, in both cases the flip time grows exponential with increasing the magnetic field strength before the flip solutions, living on 2-tori invariant manifolds, cease to exist, with lifetime going to infinity. Further we show that ferrofluidic flow turbulence differ from the classical, ordinary (usually at high Reynolds number) turbulence. The applied magnetic field hinders the free motion of ferrofluid partials and therefore smoothen typical turbulent quantities and features so that speaking of mildly chaotic dynamics seems to be a more appropriate expression for the observed motion. ' acknowledgement: S.Altmeyer is a Serra Húnter Fellow article_processing_charge: No article_type: original author: - first_name: Sebastian full_name: Altmeyer, Sebastian id: 2EE67FDC-F248-11E8-B48F-1D18A9856A87 last_name: Altmeyer orcid: 0000-0001-5964-0203 citation: ama: Altmeyer S. Non-linear dynamics and alternating ‘flip’ solutions in ferrofluidic Taylor-Couette flow. Journal of Magnetism and Magnetic Materials. 2018;452:427-441. doi:10.1016/j.jmmm.2017.12.073 apa: Altmeyer, S. (2018). Non-linear dynamics and alternating ‘flip’ solutions in ferrofluidic Taylor-Couette flow. Journal of Magnetism and Magnetic Materials. Elsevier. https://doi.org/10.1016/j.jmmm.2017.12.073 chicago: Altmeyer, Sebastian. “Non-Linear Dynamics and Alternating ‘Flip’ Solutions in Ferrofluidic Taylor-Couette Flow.” Journal of Magnetism and Magnetic Materials. Elsevier, 2018. https://doi.org/10.1016/j.jmmm.2017.12.073. ieee: S. Altmeyer, “Non-linear dynamics and alternating ‘flip’ solutions in ferrofluidic Taylor-Couette flow,” Journal of Magnetism and Magnetic Materials, vol. 452. Elsevier, pp. 427–441, 2018. ista: Altmeyer S. 2018. Non-linear dynamics and alternating ‘flip’ solutions in ferrofluidic Taylor-Couette flow. Journal of Magnetism and Magnetic Materials. 452, 427–441. mla: Altmeyer, Sebastian. “Non-Linear Dynamics and Alternating ‘Flip’ Solutions in Ferrofluidic Taylor-Couette Flow.” Journal of Magnetism and Magnetic Materials, vol. 452, Elsevier, 2018, pp. 427–41, doi:10.1016/j.jmmm.2017.12.073. short: S. Altmeyer, Journal of Magnetism and Magnetic Materials 452 (2018) 427–441. date_created: 2018-12-11T11:46:56Z date_published: 2018-04-15T00:00:00Z date_updated: 2023-09-13T09:03:44Z day: '15' ddc: - '530' department: - _id: BjHo doi: 10.1016/j.jmmm.2017.12.073 external_id: isi: - '000425547700061' file: - access_level: open_access checksum: 431f5cd4a628d7ca21161f82b14ccb4f content_type: application/pdf creator: dernst date_created: 2020-05-14T14:41:17Z date_updated: 2020-07-14T12:46:37Z file_id: '7838' file_name: 2018_Magnetism_Altmeyer.pdf file_size: 17309535 relation: main_file file_date_updated: 2020-07-14T12:46:37Z has_accepted_license: '1' intvolume: ' 452' isi: 1 language: - iso: eng month: '04' oa: 1 oa_version: Submitted Version page: 427 - 441 publication: Journal of Magnetism and Magnetic Materials publication_status: published publisher: Elsevier publist_id: '7297' quality_controlled: '1' scopus_import: '1' status: public title: Non-linear dynamics and alternating ‘flip’ solutions in ferrofluidic Taylor-Couette flow type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 452 year: '2018' ...