| 一类系统存在抛物型鞍结点分界线与双曲鞍点连线的充要条件 |
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| 引用本文： | 肖冬梅. 一类系统存在抛物型鞍结点分界线与双曲鞍点连线的充要条件[J]. 华中师范大学学报(自然科学版), 1993, 27(2): 127-132 |
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| 作者姓名： | 肖冬梅 |
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| 作者单位： | 华中师范大学数学系 |
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| 摘 要： |
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| 关 键 词： | 鞍结点 双曲鞍点 充要条件 系统 |
A NECESSARY AND SUFFICIENT CONDITION FOR THE EXISTENCE OF A PARABOLIC SEPARATRIX CONNECTING A SADDLE-NODE POINT WITH A HYPERBOLIC SADDLE POINT IN A CLASS OF SYSTEMS |
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| Xiao Dongmei. A NECESSARY AND SUFFICIENT CONDITION FOR THE EXISTENCE OF A PARABOLIC SEPARATRIX CONNECTING A SADDLE-NODE POINT WITH A HYPERBOLIC SADDLE POINT IN A CLASS OF SYSTEMS[J]. Journal of Central China Normal University(Natural Sciences), 1993, 27(2): 127-132 |
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| Authors: | Xiao Dongmei |
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| Abstract: | In this paper, we obtain a necessary and sufficient condition for the existence of a parabolic separatrix that connects a saddle-node point with a hyperbolic saddle point in a class of systems, which gave premise condition to analytic study semi-local bifurcation of a separatrix connecting a saddle-node point with a hyperbolic saddle point. |
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| Keywords: | saddle-node point hyperbolic saddle point parabolic separatrix necessary and sufficient condition |
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