| 似梯度型系统的连结轨线 |
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| 引用本文： | 丁昌明.似梯度型系统的连结轨线[J].数学学报,2000,43(6):1115-111. |
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| 作者姓名： | 丁昌明 |
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| 作者单位： | 杭州师范学院数学系 浙江 杭州 310036 |
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| 摘 要： | 本文讨论Ｒｎ中似梯度型系统奇点的连结轨线．给出了存在连结轨线的一个判定准则；证明了当系统仅有的两个奇点分别为吸引子和排斥子时，连结轨线集是无界的开集．
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| 关 键 词： | 似梯度型系统 连结轨线 吸引子 |
| 文章编号： | 0583-1431(2000)06-1115-04 |
| 修稿时间： | 1999年7月7日 |
Connecting Orbits of Gradient-Like Systems in R~(n) |
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| DING Chang-ming.Connecting Orbits of Gradient-Like Systems in R~(n)[J].Acta Mathematica Sinica,2000,43(6):1115-111. |
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| Authors: | DING Chang-ming |
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| Institution: | DING Chang-ming (Department of Mathematics, Hangzhou Teacher's College, Hangzhou 310036, P. R. China) |
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| Abstract: | This paper is concerned with the orbits connecting isolated critical points of gradient-like systems in Rn. A criterion to judge the existence of connecting orbits is given, and furthermore, if the two isolated critical points are attractor and repeller respectively, the set composed of connecting orbits is an open and unbounded set. |
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| Keywords: | Gradient-like system Connecting orbit Attractor |
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