| 分歧参数具有对称性的等变分歧问题开折的无穷小稳定性(英文) |
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| 引用本文： | 崔登兰.分歧参数具有对称性的等变分歧问题开折的无穷小稳定性(英文)[J].湘南学院学报,2008,29(2):1-5. |
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| 作者姓名： | 崔登兰 |
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| 作者单位： | 湖南师范大学,数学与计算机科学学院,中国,长沙,410081 |
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| 摘 要： | 基于奇点理论中光滑映射芽的左右等价关系,讨论分歧参数带有对称性的等变分歧问题在左右等价群的一个子群作用下开折的无穷小稳定性,指出了这类分歧问题的通用开折必为无穷小稳定开折.
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| 关 键 词： | 等变分歧问题 开折 左右等价群 无穷小稳定性 equivariant bifurcation problem unfolding left-fight equivalence group infinitesimal stability 等变分歧问题 参数 对称性 通用开折 无穷小 稳定性 Symmetry Parameter Problems Equivariant Bifurcation Unfolding versal bifurcation problem above infinitesimally stable stability unfolding equivariant bifurcation problems parameter |
Infinitesimally Stability of Unfolding of Equivariant Bifurcation Problems with Parameter Symmetry |
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| CUI Deng-lan.Infinitesimally Stability of Unfolding of Equivariant Bifurcation Problems with Parameter Symmetry[J].Journal of Xiangnan University,2008,29(2):1-5. |
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| Authors: | CUI Deng-lan |
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| Affiliation: | CUI Deng-lan (College of Mathematics , Computer Science,Hunan Normal University,Changsha 410081,China) |
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| Abstract: | Based on left-right equivalence of smooth map-germs in singularity theory,the infinitesimal stability of unfolding of equivariant bifurcation problems with parameter symmetry under a subgroup of left-right equivalence group is discussed.It is pointed out that the versal unfolding of such a bifurcation problem as mentioned above must be infinitesimally stable. |
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| Keywords: | equivariant bifurcation problem unfolding left-right equivalence group infinitesimal stability |
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