Equivariant degree for abelian actions. II: Index computations

DOI10.12775/TMNA.1996.017zbMath0899.58004MaRDI QIDQ1380882

Jorge Ize, Alfonso Vignoli

Publication date: 22 April 1998

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

zbMATH Keywords

periodic solutionsBorsuk-Ulam theoremsymmetry breakingequivariant degreeAbelian actions

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Periodic solutions to ordinary differential equations (34C25) Dimension theory in general topology (54F45) Homotopy and topological questions for infinite-dimensional manifolds (58B05) Group-invariant bifurcation theory in infinite-dimensional spaces (58E09) Equivariant homotopy groups (55Q91)

Related Items (6)

Twisted \(\Gamma \times \mathbb T^n\)-equivariant degree with \(n\)-parameters: computational formulae and applications ⋮ Existence of limit cycles for coupled van der Pol equations. ⋮ Multiple slowly oscillating periodic solutions in coupled lossless transmission lines ⋮ Equivariant hopf theorem ⋮ Connected sets in multiparameter bifurcation ⋮ Computation of the equivariant 1-stem.

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