Hopf bifurcations of functional-differential equations with dihedral symmetries (Q1265122)

The authors abstract: ``The authors discuss the joint impact of temporal delay and spatial dihedral symmetries on the occurrence and multiplicity of Hopf bifurcations for a system of FDEs. By applying equivariant degree theory, they establish a result on the existence of multiple branches of nonconstant periodic solutions and classify their symmetries. General results are illustrated by a ring of identical oscillators with identical coupling between adjacent cells''.