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On the Stability of Equivariant Bifurcation Problems and Their Unfoldings
Published online by Cambridge University Press: 20 November 2018
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 the local level of germs and that stability in the unfolding category is equivalent to versality.
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- Copyright © Canadian Mathematical Society 1992
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