Degree theory for equivariant maps, the general 𝑆¹-action

DOI10.1090/memo/0481zbMath0785.58008OpenAlexW4254573800MaRDI QIDQ4024285

Jorge Ize, Ivar Massabò, Alfonso Vignoli

Publication date: 19 April 1993

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0481

zbMATH Keywords

equivariant degree\(S^ 1\)-homotopygroup of spheres

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 (12)

Global Hopf bifurcation for differential equations with multiple threshold‐type state‐dependent delays ⋮ A short treatise on the equivariant degree theory and its applications ⋮ BIFURCATION THEORY OF FUNCTIONAL DIFFERENTIAL EQUATIONS: A SURVEY ⋮ 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 ⋮ \(S^ 1\)-degree and global Hopf bifurcation theory of functional differential equations ⋮ Global Hopf bifurcation of differential equations with threshold type state-dependent delay ⋮ Degree for \(S^1\)-equivariant strongly indefinite functionals ⋮ Hopf bifurcations of functional-differential equations with dihedral symmetries ⋮ Symmetric functional differential equations and neural networks with memory

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