Generalized heteroclinic cycles in spherically invariant systems and their perturbations

DOI10.1007/s003329900077zbMath0974.37032OpenAlexW2036459384MaRDI QIDQ1306501

Reiner Lauterbach, Frédéric Guyard, Pascal Chossat

Publication date: 16 November 1999

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s003329900077

zbMATH Keywords

heteroclinic cyclesymmetry-breaking perturbationspherical Bénard problem

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Convection in hydrodynamic stability (76E06) Rotation in hydrodynamic stability (76E07) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (4)

Pseudo-simple heteroclinic cycles in \(\mathbb{R}^4\) ⋮ Onset of intermittent octahedral patterns in spherical Bénard convection ⋮ On eigenvalues on the orbit space ⋮ Countable infinite sequence of attractors' families for the simplest known equivariant chaotic flow.

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