| (r, s)-STABILITY OF UNFOLDING OF г-EQUIVARIANT BIFURCATION PROBLEM |
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| 引用本文： | 刘恒兴,张敦穆.(r, s)-STABILITY OF UNFOLDING OF г-EQUIVARIANT BIFURCATION PROBLEM[J].数学物理学报(B辑英文版),2005(3). |
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| 作者姓名： | 刘恒兴 张敦穆 |
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| 作者单位： | School of Mathematics and Statistics Wuhan University，School of Mathematics and Statistics Wuhan University Wuhan 430072，China，Wuhan 430072，China |
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| 基金项目： | Supported by the National Nature Science Foundation of China (10261002) |
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| 摘 要： | 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.
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| 关 键 词： | г-equivariant bifurcation problem unfolding transversality г-equivariant infinitesimally (r s)-stability г-equivariant (r s)-equivalence. |
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