GENERIC BIFURCATION OF ROTATING WAVES WITH MAXIMAL ISOTROPY

1. Melbourne [9] has recently announced an existence theorem for generic bifurcation of rotating waves with maximal isotropy for vector fields which are equivariant under an absolutely irreducible action of a compact Lie group. Melbourne's proof relies on recent results of Field ([4], [5]). Rotating waves can also be interpreted as equilibria on the orbit space of the group action, and the purpose of this Note is to present a proof using geometric arguments directly on this orbit space, arguments similar to those of [7].