Hopf bifurcation and symmetry: travelling and standing waves on the circle

DOI10.1017/S0308210500019223zbMath0629.35012MaRDI QIDQ3766157

John Mallet-Paret, Stephan A. van Gils

Publication date: 1986

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

symmetrystabilitytravelling wavesHopf bifurcationreaction-diffusion systemperiodic boundary conditionssmall perturbationstanding wavesinvariant torusmultiple eigenvaluessecondary bifurcationbifurcation of a torus

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Perturbations in context of PDEs (35B20) Bifurcations in context of PDEs (35B32)

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