Bifurcation from discrete rotating waves (Q1818931)

This paper is devoted to the systematical study of bifurcation of discrete rotating waves by studying bifurcation of fixed points for a twisted equivariant diffeomorphism. Moreover the authors classify the local bifurcations (non-Hopf and Hopf) in terms of the structure of the center subspace of the linearized twisted equivariant diffeomorphism. The result of the authors are valid for bifurcations of isolated discrete rotating waves in dynamical systems with compact symmetry group.