Cycling chaos: Its creation, persistence and loss of stability in a model of nonlinear magnetoconvection

DOI10.1016/S0167-2789(98)00174-2zbMath0955.76035arXivchao-dyn/9708010OpenAlexW2085279688WikidataQ57943708 ScholiaQ57943708MaRDI QIDQ1808321

Peter Ashwin, Alastair M. Rucklidge

Publication date: 6 December 1999

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/chao-dyn/9708010

zbMATH Keywords

symmetryinvariant subspacemagnetoconvectionchaotic attractorheteroclinic cycleblowout bifurcationresonance bifurcationtransverse Lyapunov exponentsattracting cycling chaotic statecross-roll instabilityninth-order truncated ordinary differential equation modelthree-dimensional incompressible convection

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Magnetohydrodynamics and electrohydrodynamics (76W05) Convection in hydrodynamic stability (76E06) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

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