Global structure for a class of dynamical systems

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	Global structure for a class of dynamical systems
	Zhang, SC; Zheng, ZH
	2000-04-01
发表期刊	CHAOS SOLITONS & FRACTALS
ISSN	0960-0779
卷号	11 期号:5 页码:735-741
摘要	In this paper, we shall consider the global structure of positive bounded systems on the plane which have m singular points, but not any closed orbits and singular closed orbits. We shall prove that these systems have at least m - 1 connecting orbits; and all the connecting orbits, homoclinic orbits and singular points constitute a compact simply connected set. Each of other orbits tends to a singular point as t -> +infinity, and approaches to the infinity as t -> -infinity. (C) 2000 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:000085139400009
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/14985
专题	应用数学研究所
通讯作者	Zheng, ZH
作者单位	Acad Sinica, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhang, SC,Zheng, ZH. Global structure for a class of dynamical systems[J]. CHAOS SOLITONS & FRACTALS,2000,11(5):735-741.
APA	Zhang, SC,&Zheng, ZH.(2000).Global structure for a class of dynamical systems.CHAOS SOLITONS & FRACTALS,11(5),735-741.
MLA	Zhang, SC,et al."Global structure for a class of dynamical systems".CHAOS SOLITONS & FRACTALS 11.5(2000):735-741.