Some properties of invariant sets of a flow

被引：13
|
作者：
Wang, XX [1 ]
机构：
[1] Acad Sinica, Inst Math, Beijing 100080, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2000年 / 11卷 / 14期
关键词：
Convergence of numerical methods - Differential equations - Geometry - Phase space methods - Theorem proving - Topology;
D O I：
10.1016/S0960-0779(99)00151-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, some new properties of the regions of weak attraction, the regions of attraction, and the a-limit sets are proved. A necessary and sufficient condition for which a component of an attractor is also an attractor is given. Some results of Conley are generalized (cf. Conley C. Isolated invariant sets and the morse index. CBMS regional conference series in mathematics, vol. 38. Providence, RI: AMS, 1978; Conley C. Ergodic Theory Dyn Syst 1988;8:11-26). (C) 2000 Elsevier Science Ltd. All rights reserved.
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页码：2319 / 2323
页数：5
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