Heteroclinic cycles and wreath product symmetries

摘要

We consider the existence and stability of heteroclinic cycles arising by local bifurcation in dynamical systems with wreath product symmetry Γ=Z_2G, where Z_2 acts by ±1 on R and G is a transitive subgroup of the permutation group S_N (thus G has degree N). The group Γ acts acts absolutely irreducibly on R~N. We Consider primary (condimension one) bifurcations from an equilibrium to heterocolinic Cycles as real eigenvalues pass though zero.