Obstruction Theory and Multiparameter Hopf Bifurcation

DOI10.2307/2000262zbMath0575.58025OpenAlexW4231989942MaRDI QIDQ3696084

Jorge Ize

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2000262

zbMATH Keywords

periodic solutionsHopf bifurcationequivariant obstructionsequivariant mappingscomplex Bott periodicity theorem

Mathematics Subject Classification ID

Obstruction theory in algebraic topology (55S35) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items

Interaction of periodic and stationary bifurcation from multiple eigenvalues, Generic \(S^ 1\)-equivariant vector fields, Periodic solutions near an equilibrium of a differential equation with a first integral, Structure and Dimension of Global Branches of Solutions to Multiparameter Nonlinear Equations, Hopf bifurcation from a differentiable viewpoint, Connected sets in multiparameter bifurcation, \(S^ 1\)-degree and global Hopf bifurcation theory of functional differential equations, Sliding Hopf bifurcation in interval systems, Degree Theory for Equivariant Maps. I, Application of the Kac equation to turbulence simulation, Symmetric functional differential equations and neural networks with memory

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