Existence of heteroclinic orbits of the Shil'nikov type in a 3D quadratic autonomous chaotic system

doi:10.1016/j.jmaa.2005.09.087

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	Existence of heteroclinic orbits of the Shil'nikov type in a 3D quadratic autonomous chaotic system
	Zheng, ZH; Chen, GR
	2006-03-01
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	315 期号:1 页码:106-119
摘要	In this paper, the existence of heteroclinic orbits of.Shil'nikov type in a three-dimensional quadratic autonomous system is proved. Four heteroclinic orbits and four critical points together constitute two cycles simultaneously. The dynamical behaviors of the system are also studied. (c) 2005 Elsevier Inc. All rights reserved.
关键词	heteroclinic orbit invariant set behavior of trajectory Shil'nikov map
DOI	10.1016/j.jmaa.2005.09.087
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000235104500009
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2531
专题	应用数学研究所
通讯作者	Chen, GR
作者单位	1.City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zheng, ZH,Chen, GR. Existence of heteroclinic orbits of the Shil'nikov type in a 3D quadratic autonomous chaotic system[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2006,315(1):106-119.
APA	Zheng, ZH,&Chen, GR.(2006).Existence of heteroclinic orbits of the Shil'nikov type in a 3D quadratic autonomous chaotic system.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,315(1),106-119.
MLA	Zheng, ZH,et al."Existence of heteroclinic orbits of the Shil'nikov type in a 3D quadratic autonomous chaotic system".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 315.1(2006):106-119.