Limit Cycle Bifurcations in Equivariant Systems

Abstract

Chapter 10 investigates bifurcation of limit cycles in equivariant systems, including S-equivariant vector fields, Z q -equivariant vector and S q -reversible vector fields. An S-equivariant quadratic system, a Z 3-equivariant system and a cubic (2π/3)-equivariant system are studied.KeywordsLimit Cycle BifurcationQuadratic Polynomial SystemVector FieldMelnikov Functionnear-Hamiltonian SystemThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.