| 多参数等变分歧问题的开折的无穷小稳定性(英文) |
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| 引用本文： | 高守平.多参数等变分歧问题的开折的无穷小稳定性(英文)[J].湘南学院学报,2004,25(2):1-4. |
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| 作者姓名： | 高守平 |
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| 作者单位： | 湘南学院,计算机科学系,湖南,郴州,423000 |
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| 基金项目： | 国家自然科学基金，湖南省自然科学基金，10271023，01JJY3003，， |
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| 摘 要： | 基于奇点理论中的映射芽的左右等价关系,本文对等变分歧问题引入一种新的等价关系,提出了多参数等变分歧问题的开折关于该等价关系的无穷小稳定性的新概念,给出了多参数等变分歧问题的开折是无穷小稳定的充分必要条件.
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| 关 键 词： | 等变分歧问题 A(г)等价 开折 |
The Infinitesimally Stability of Unfolding of Multiparameter Equivariant Bifurcation Problems |
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| Abstract.The Infinitesimally Stability of Unfolding of Multiparameter Equivariant Bifurcation Problems[J].Journal of Xiangnan University,2004,25(2):1-4. |
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| Authors: | Abstract |
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| Abstract: | Based on the left-right equivalence of smooth map-germs in singularity theory, the present paper introduces a new equivalence relation between equivariant bifurcation problems. The notion of infinitesimally stability of unfolding of multiparamter bifurcation problems with respect to the equivalence relation is posed. The necessary and sufficient condition for the infinitesimally stability of unfolding of multiparameter equivariant bifurcation problems is given. |
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| Keywords: | equivariant bifurcation problem unfolding A(г)-equivalent Infinitesimally stable |
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