Geodesic
On the Stability of Equivariant Bifurcation Problems and Their Unfoldings
Canadian mathematical bulletin, Tome 35 (1992) no. 2, pp. 237-246

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DOI

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.
DOI : 10.4153/CMB-1992-034-x
Mots-clés : 58E07, 58C27 
Lari-Lavassani, Ali; Lu, Yung-Chen. On the Stability of Equivariant Bifurcation Problems and Their Unfoldings. Canadian mathematical bulletin, Tome 35 (1992) no. 2, pp. 237-246. doi: 10.4153/CMB-1992-034-x
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     title = {On the {Stability} of {Equivariant} {Bifurcation} {Problems} and {Their} {Unfoldings}},
     journal = {Canadian mathematical bulletin},
     pages = {237--246},
     year = {1992},
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     doi = {10.4153/CMB-1992-034-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1992-034-x/}
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