2026-04-17T17:34:13Zhttps://recercat.cat/oai/request

oai:recercat.cat:2117/3867832026-01-23T05:01:43Zcom_2072_1033col_2072_452950

High dimensional tori and chaotic and intermittent transients in magnetohydrodynamic Couette flows García González, Fernando Ogbonna, Jude Giesecke, André Stefani, Frank Universitat Politècnica de Catalunya. Departament de Mecànica de Fluids Universitat Politècnica de Catalunya. GReCEF- Grup de Recerca en Ciència i Enginyeria de Fluids Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids Hydrodynamics Magnetohydrodynamics High-dimensional tori Chaotic transients Hidrodinàmica The magnetised spherical Couette (MSC) problem, a three dimensional magnetohydrodynamic paradigmatic model in geo- and astrophysics, is considered to investigate bifurcations to high-dimensional invariant tori and chaotic flows in large scale dissipative dynamical systems with symmetry. The main goal of the present study is to elucidate the origin of chaotic transients and intermittent behaviour from two different sequences of Hopf bifurcations involving invariant tori with four fundamental frequencies, which may be resonant. Numerical evidence of the existence of a crisis event destroying chaotic attractors and giving rise to the chaotic transients is provided. It is also shown that unstable invariant tori take part in the time evolution of these chaotic transients. For one sequence of bifurcations, the study demonstrates that chaotic transients display on–off intermittent behaviour. A possible explanatory mechanism is discussed. Peer Reviewed Postprint (published version) 2023-04 Article Garcia, F. [et al.]. High dimensional tori and chaotic and intermittent transients in magnetohydrodynamic Couette flows. "Communications in nonlinear science and numerical simulation", Abril 2023, vol. 118, núm. article 107030. 1007-5704 https://hdl.handle.net/2117/386783 10.1016/j.cnsns.2022.107030 eng https://www.sciencedirect.com/science/article/pii/S1007570422005172 http://creativecommons.org/licenses/by-nc-nd/4.0/ Open Access Attribution-NonCommercial-NoDerivatives 4.0 International application/pdf