KMS Of Academy of mathematics and systems sciences, CAS
Some properties of the chain recurrent set of dynamical systems | |
Hu, FN | |
2002-11-01 | |
发表期刊 | CHAOS SOLITONS & FRACTALS |
ISSN | 0960-0779 |
卷号 | 14期号:8页码:1309-1314 |
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研究方向 | Mathematics ; Physics |
WOS类目 | Mathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical |
WOS记录号 | WOS:000178133800016 |
出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/17340 |
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. |
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