| （r, s）-STABILITY OF UNFOLDING OFF-EQUIVARIANT BIFURCATION PROBLEM |
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| 引用本文： | 刘恒兴,张敦穆.（r, s）-STABILITY OF UNFOLDING OFF-EQUIVARIANT BIFURCATION PROBLEM[J].数学物理学报(B辑英文版),2005,25(3):408-418. |
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| 作者姓名： | 刘恒兴 张敦穆 |
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| 作者单位： | SchoolofMathematicsandStatistics,WuhanUniversity,Wuhan430072,China |
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| 摘 要： | In this paper,the F-equivariant (s,t)-equivalence relation and F-equivariant infinitesimally (r,s)-stability of F-equivariant bifurcation problem are defined. The criterion for F-equivariant infinitesimally (r, s)-stability is proven when F is a compact finite Lie group . Transversality condition is used to characterize the stability.
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| 关 键 词： | 稳定性 等值分支 不可卷积 奇异性 光滑映射 紧李群 |
| 收稿时间： | 18 October 2002 |
(r,s)-STABILITY OF UNFOLDING OF Γ-EQUIVARIANT BIFURCATION PROBLEM |
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| Institution: | School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China;Mathematical Institute, University of Oxford, Andrew Wiles Building, Oxford, OX2 6GG, United Kingdom |
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| 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. |
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| Keywords: | Γ-equivariant bifurcation problem unfolding transversality 58C27 |
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