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Stability of
unfoldings in the context of equivariant
contact-equivalence
Jean-Jacques Gervais |
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Vol. 132 (1988), No. 2, 283–291
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Abstract |
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M. Golubitsky and D. Schaeffer introduced the notion of equivariant contact-equivalence between germs of C∞ equivariant mappings, in order to study perturbed bifurcation problems having a certain symmetry property. The main tool used is the so-called “Unfolding Theorem” for the qualitative description of the symmetry-preserving perturbations of these problems. From the point of view of applications, a relevant notion is that of stability of unfoldings. In this paper we prove the equivalence of the universality and the stability of unfoldings in the context of equivariant contact-equivalence. |
Mathematical Subject Classification 2000
Primary: 58E07
Secondary: 58C27
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Milestones
Received: 12 September 1985
Published: 1 April 1988
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Authors |
| Jean-Jacques Gervais | |
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