| THE UNFOLDING OF EQUIVARIANT BIFURCATION PROBLEMS WITH PARAMETERS SYMMETRY |
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| 引用本文： | 高守平,李养成. THE UNFOLDING OF EQUIVARIANT BIFURCATION PROBLEMS WITH PARAMETERS SYMMETRY[J]. 数学物理学报(B辑英文版), 2004, 24(4): 623-632 |
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| 作者姓名： | 高守平 李养成 |
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| 作者单位： | [1]DepartmentofMathematics,XiangNanUniversity,Chenzhou423000,China [2]DepartmentofAppliedMathematics,CentralSouthUniversity,Changsha410083,China |
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| 基金项目： | This work is supported by NNSF of China(10271023) and Hunan Provincial Natural Science Foundation of China(04JJ3072). |
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| 摘 要： | In this paper versal unfolding theorem of multiparameter equivaxiant bifurcation problem with parameter symmetry is given. The necessary and sufficient condition that unfolding of multiparameter equivariant bifurcation problem with parameter symmetry factors through another is given. The corresponding results in [1]-[6] are generalized.
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| 关 键 词： | 等变分支问题 等势 李群 顶集 |
THE UNFOLDING OF EQUIVARIANT BIFURCATION PROBLEMS WITH PARAMETERS SYMMETRY |
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| Gao Shouping. THE UNFOLDING OF EQUIVARIANT BIFURCATION PROBLEMS WITH PARAMETERS SYMMETRY[J]. Acta Mathematica Scientia, 2004, 24(4): 623-632 |
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| Authors: | Gao Shouping |
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| Affiliation: | Gao Shouping Department of Mathematics,XiangNan University,Chenzhou 423000,ChinaLi Yangcheng Department of Applied Mathematics,Central South University,Changsha 410083,China |
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| Abstract: | In this paper versal unfolding theorem of multiparameter equivariant bifurcation problem with parameter symmetry is given. The necessary and sufficient condition that unfolding of multiparameter equivariant bifurcation problem with parameter symmetry factors through another is given. The corresponding results in [1]-[6] are generalized. |
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