(r,s)-STABILITY OF UNFOLDING OF Γ-EQ

(r,s)-STABILITY OF UNFOLDING OF Γ-EQUIVARIANT BIFURCATION PROBLEM

In this paper,the Γ-equivariant (s, t)-equivalence relation and Γ-equivariant infinitesimally (r, s)-stability of Γ-equivariant bifurcation problem are defined. The criterion for Γ-equivariant infinitesimally (r, s)-stability is proven when Γ is a compact finite Lie group . Transversality condition is used to characterize the stability.

作 者： Liu Hengxing Zhang Dunmu   作者单位： School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China  刊 名： 数学物理学报（英文版）  ISTIC SCI 英文刊名： ACTA MATHEMATICA SCIENTIA  年，卷(期)： 2005 25(3)  分类号： O41  关键词： Γ-equivariant bifurcation problem   unfolding   transversality   Γ-equivariant infinitesimally (r   s)-stability   Γ-equivariant (r   s)-equivalence  

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