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(r, s)-STABILITY OF UNFOLDING OF г-EQUIVARIANT BIFURCATION PROBLEM
【摘要】 <正>In this paper,the (?)-equivariant (s, t)-equivalence relation and (?)-equivariant infinitesimally (r, s)-stability of (?)-equivariant bifurcation problem are defined. The criterion for (?)-equivariant infinitesimally (r, s)-stability is proven when (?) is a compact finite Lie group .Transversality condition is used to characterize the stability.
【Abstract】 In this paper,the (?)-equivariant (s, t)-equivalence relation and (?)-equivariant infinitesimally (r, s)-stability of (?)-equivariant bifurcation problem are defined. The criterion for (?)-equivariant infinitesimally (r, s)-stability is proven when (?) is a compact finite Lie group .Transversality condition is used to characterize the stability.
【关键词】 г-equivariant bifurcation problem；
unfolding；
transversality；
г-equivariant infinitesimally (r；
s)-stability；
г-equivariant (r；
s)-equivalence.；
【Key words】 г-equivariant bifurcation problem； unfolding； transversality； г-equivariant infinitesimally (r； s)-stability； г-equivariant (r； s)-equivalence.；
【Key words】 г-equivariant bifurcation problem； unfolding； transversality； г-equivariant infinitesimally (r； s)-stability； г-equivariant (r； s)-equivalence.；
【基金】 Supported by the National Nature Science Foundation of China (10261002)
- 【文献出处】 Acta Mathematica Scientia ,数学物理学报(英文版) , 编辑部邮箱 ,2005年03期
- 【分类号】O189.1
- 【被引频次】1
- 【下载频次】13