\(\text{SO}(3)\times S^1\)-equivariant degree with applications to symmetric bifurcation problems: the case of one free parameter

DOI10.12775/TMNA.2002.040zbMath1184.37043OpenAlexW2547253175MaRDI QIDQ1411251

Zalman Balanov, Heinrich Steinlein, Wiesław Krawcewicz

Publication date: 27 October 2003

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12775/tmna.2002.040

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Degree theory for nonlinear operators (47H11) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Equivariant homotopy groups (55Q91) Variational aspects of group actions in infinite-dimensional spaces (58E40)

Related Items (8)

Taylor--Couette problem and related topics ⋮ Twisted \(\Gamma \times \mathbb T^n\)-equivariant degree with \(n\)-parameters: computational formulae and applications ⋮ A short treatise on the equivariant degree theory and its applications ⋮ Multiple slowly oscillating periodic solutions in coupled lossless transmission lines ⋮ G. E. Hutchinson's delay logistic system with symmetries and spatial diffusion ⋮ Applications of equivariant degree for gradient maps to symmetric Newtonian systems ⋮ Global Hopf bifurcation of differential equations with threshold type state-dependent delay ⋮ Computation of the equivariant 1-stem.

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