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On the Stability of Equivariant Bifurcation Problems and Their Unfoldings

Published online by Cambridge University Press:  20 November 2018

Ali Lari-Lavassani  and
Yung-Chen Lu
Ali Lari-Lavassani
Affiliation:
Department of Systems Design University of Waterloo Waterloo, Ontario
Yung-Chen Lu
Affiliation:
Department of Mathematics The Ohio State University Columbus, Ohio
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Abstract

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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.

Keywords

58E0758C27
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 35 , Issue 2 , 01 June 1992 , pp. 237 - 246
Copyright
Copyright © Canadian Mathematical Society 1992 

References

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