Some dynamical properties of continuous semi-flows having topological transitivity

CSpace

	Some dynamical properties of continuous semi-flows having topological transitivity
	He, LF ; Gao, YH ; Yang, FH
	2002-11-01
发表期刊	CHAOS SOLITONS & FRACTALS
ISSN	0960-0779
卷号	14 期号:8 页码:1159-1167
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.
关键词	continuous semi-flow topologically transitive Lyapunov stable topologically ergodic almost periodic point chaos in the sense of Takens and Ruelle
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:000178133800004
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/17637
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.