Twisted -equivariant degree with n-parameters: computational formulae and applications

摘要

We introduce the generalized twisted -equivariant degree with n free parameters, where is a nonabelian finite group, present a computational formulae based on the reduction to -equivariant maps and reduction of parameters techniques. This twisted equivariant degree can be effectively applied to study Hopf bifurcation with symmetries from relative equilibria. We give an example of such bifurcation in a system of ODEs.