数学物理学报(英文版) ›› 2005, Vol. 25 ›› Issue (3): 408-418.

• 论文 • 上一篇    下一篇

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

刘恒兴,张散穆   

  • 出版日期:2005-07-20 发布日期:2005-07-20
  • 基金资助:

    Supported by the National Nature Science Founda-
    tion of China (10261002)

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

School of Mathematics and Statistics,Wuhan University, Wuhan 430072, China   

  • Online:2005-07-20 Published:2005-07-20
  • Supported by:

    Supported by the National Nature Science Founda-
    tion of China (10261002)

摘要:

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.

Abstract:

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.

Key words: \rm Γ-equivariant bifurcation
problem,
unfolding, transversality, Γ-equivariant
infinitesimally (r,s)-stability,
Γ-equivariant
(r,s)-equivalence.

中图分类号: 

  • 58C27