2008•Hu'nan Shifan Daxue xuebao. Ziran kexue banRequires access

Infinitesimal Stability of Unfolding of Equivariant Bifurcation Problems with Parameter Symmetry Under Left-Right Equivalence Group

Guo Rui-zhi

Abstract

Based on left-right equivalence of smooth map-germs in singularity theory, the stability of unfolding of equivariant bifurcation problems is discussed and infinitesimally stable unfolding is characterized. It is pointed that the versal unfolding of such a bifurcation problem as mentioned above must be infinitesimally stable.

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Key concepts: Equivariant map, Infinitesimal, Bifurcation, Mathematics, Equivalence (formal languages), Singularity, Singularity theory, Symmetry (geometry)