Unfolding of Multiparameter Equivariant Bifurcation Problems With Two Groups of State Variables Under Left-Right Equivalent Group

GUO Rui-zhi; LI Yang-cheng

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GUO Rui-zhi, LI Yang-cheng. Unfolding of Multiparameter Equivariant Bifurcation Problems With Two Groups of State Variables Under Left-Right Equivalent Group[J]. Applied Mathematics and Mechanics, 2005, 26(4): 489-496.

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Unfolding of Multiparameter Equivariant Bifurcation Problems With Two Groups of State Variables Under Left-Right Equivalent Group

GUO Rui-zhi^1,2,
LI Yang-cheng¹

1.
School of Mathematics and Computing Technology, Central South University, Changsha 410083, P. R. China;

Received Date: 2003-08-18
Rev Recd Date: 2004-12-06
Publish Date: 2005-04-15

Abstract

Abstract

Based on the left-right equivalent relation of smooth map-germs in singularity theory,the unfoldings of multiparameter equivariant bifurcation problems with respect to left-right equivalence are discussed.The state variables of such an equivariant bifurcation problem were divided into two groups,in which the first can vary independently,while the others depend on the first in the varying process.By applying related methods and techniques in the unfolding theory of smooth map-germs, the necessary and sufficient condition for an unfolding of a multiparameter equivariant bifurcation problem with two groups of state variables to be versal is obtained.
- equivariant bifurcation,
- left-right equivalent group,
- unfolding

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References(9)

References

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