On the Stability of Equivariant Bifurcation Problems and Their Unfoldings
On the Stability of Equivariant Bifurcation Problems and Their Unfoldings
Abstract In their book Singularities and Groups in Bifurcation Theory M. Golubitsky, I. Stewart and D. Schaeffer have introduced an equivariant version of Martinet's notion of V (for variety)-equivalence with parameter. In this paper we give a unified proof that, in this context, infinitesimal stability is equivalent to stability at …