(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