Some properties of the chain recurrent set of dynamical systems
文献类型：期刊论文
| 作者 | Hu, FN |
| 刊名 | CHAOS SOLITONS & FRACTALS
 |
| 出版日期 | 2002-11-01 |
| 卷号 | 14期号:8页码:1309-1314 |
| ISSN号 | 0960-0779 |
| 英文摘要 | In this paper, the conclusions that the chain-transitive components of a flow on a compact Hausdorff topological space are precisely the components of the chain recurrent set and that each chain-transitive component is chain recurrent are proved. A necessary and sufficient condition for the entire space to be a single chain-transitive component is given at the same time. Moreover some properties about the chain-transitive components are discussed. At last for a continuous map defined on a compact metric space, the strong-epsilon-chain, strong-chain-transitive component are introduced and some existing results are improved. (C) 2002 Elsevier Science Ltd. All rights reserved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000178133800016 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17339]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Hu, FN |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Hu, FN. Some properties of the chain recurrent set of dynamical systems[J]. CHAOS SOLITONS & FRACTALS,2002,14(8):1309-1314. |
| APA | Hu, FN.(2002).Some properties of the chain recurrent set of dynamical systems.CHAOS SOLITONS & FRACTALS,14(8),1309-1314. |
| MLA | Hu, FN."Some properties of the chain recurrent set of dynamical systems".CHAOS SOLITONS & FRACTALS 14.8(2002):1309-1314. |
入库方式： OAI收割
来源：数学与系统科学研究院
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