Some dynamical properties of continuous semi-flows having topological transitivity
文献类型：期刊论文
| 作者 | He, LF; Gao, YH; Yang, FH |
| 刊名 | CHAOS SOLITONS & FRACTALS
 |
| 出版日期 | 2002-11-01 |
| 卷号 | 14期号:8页码:1159-1167 |
| 关键词 | continuous semi-flow topologically transitive Lyapunov stable topologically ergodic almost periodic point chaos in the sense of Takens and Ruelle |
| ISSN号 | 0960-0779 |
| 英文摘要 | In this paper, we investigate the dynamical properties of continuous semi-flows having topological transitivity on a compact metric space. The main results are as follows: (1) a continuous semi-flow with topological transitivity and positive Lyapunov stability is an almost periodic minimal flow; (2) a continuous semi-flow is uniformly almost periodic minimal flow if and only if it is topologically ergodic and has positively Lyapunov stable points; (3) a continuous flow with topological transitivity on a closed surface is either chaos in the sense of Takens and Ruelle or uniformly almost periodic minimal flow on Torus. (C) 2002 Elsevier Science Ltd. All rights reserved. |
| WOS研究方向 | Mathematics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000178133800004 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17636]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Gao, YH |
| 作者单位 | 1.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100864, Peoples R China 2.Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050016, Peoples R China |
| 推荐引用方式 GB/T 7714 | He, LF,Gao, YH,Yang, FH. Some dynamical properties of continuous semi-flows having topological transitivity[J]. CHAOS SOLITONS & FRACTALS,2002,14(8):1159-1167. |
| APA | He, LF,Gao, YH,&Yang, FH.(2002).Some dynamical properties of continuous semi-flows having topological transitivity.CHAOS SOLITONS & FRACTALS,14(8),1159-1167. |
| MLA | He, LF,et al."Some dynamical properties of continuous semi-flows having topological transitivity".CHAOS SOLITONS & FRACTALS 14.8(2002):1159-1167. |
入库方式： OAI收割
来源：数学与系统科学研究院
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