Degree Theory for Equivariant Maps. I

DOI10.2307/2001293zbMath0695.58006OpenAlexW4232172914MaRDI QIDQ3471228

Jorge Ize, Ivar Massabò, Alfonso Vignoli

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2001293

zbMATH Keywords

\(S^ 1\)-homotopy groups of spheresequivariant topological degreeFuller's degree

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Degree, winding number (55M25) Dimension theory in general topology (54F45) Homotopy and topological questions for infinite-dimensional manifolds (58B05) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items

Taylor--Couette problem and related topics, Generic \(S^ 1\)-equivariant vector fields, Degree of certain equivariant maps into a representation sphere, 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, Hopf bifurcation from a differentiable viewpoint, Equivariant hopf theorem, Connected sets in multiparameter bifurcation, \(S^ 1\)-degree and global Hopf bifurcation theory of functional differential equations, Equivariant Fixed Point Index and Fixed Point Transfer in Nonzero Dimensions, Global Hopf bifurcation of differential equations with threshold type state-dependent delay, Hopf bifurcations of functional-differential equations with dihedral symmetries, Hidden Symmetries, Coupled Networks and Equivariant Degrees, Symmetric functional differential equations and neural networks with memory, Theory and applications of Hopf bifurcations in symmetric functional differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new degree for \(S^ 1\)-invariant gradient mappings and applications
• Transformation groups and representation theory
• Zerspaltung äquivarianter Homotopiemengen
• Äquivariante Homotopie. I
• Equivariant cohomology and stable cohomotopy
• Equivariant Vector Fields on Spheres
• Obstruction Theory and Multiparameter Hopf Bifurcation
• Structure and Dimension of Global Branches of Solutions to Multiparameter Nonlinear Equations
• Bifurcation theory for Fredholm operators
• Global Hopf bifurcation from a multiple eigenvalue
• Topologie et équations fonctionnelles
• An Index of Fixed Point Type for Periodic Orbits