Heteroclinic orbits and chaotic regions for Josephson system

doi:10.1016/j.jmaa.2010.11.050

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	Heteroclinic orbits and chaotic regions for Josephson system
	Xu, Pengcheng1 ; Jing, Zhujun 1,2
刊名	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
	2011-04-01
卷号	376 期号:1 页码:103-122
关键词	Josephson equation Heteroclinic orbit Melnikov method Chaos
ISSN号	0022-247X
DOI	10.1016/j.jmaa.2010.11.050
英文摘要	The dynamics of the perturbed Josephson system has been discussed in this study. The Josephson system has been transformed into three polynomial systems. The analytic description of the heteroclinic orbits for these unperturbation polynomial systems have been obtained. By employing the Melnikov techniques together with the analytic forms of the heteroclinic orbits, the existence of transversal heteroclinic chaos and the parameter regions for chaos for the perturbed Josephson system is then obtained. (C) 2010 Elsevier Inc. All rights reserved.
资助项目	National Natural Science Foundation of China[6399100]
WOS研究方向	Mathematics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000286155800010
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/12919]
专题	应用数学研究所
通讯作者	Xu, Pengcheng
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 10080, Peoples R China 2.Hunan Normal Univ, Coll Math & Comp Sci, Changsha 410081, Hunan, Peoples R China
推荐引用方式 GB/T 7714	Xu, Pengcheng,Jing, Zhujun. Heteroclinic orbits and chaotic regions for Josephson system[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2011,376(1):103-122.
APA	Xu, Pengcheng,&Jing, Zhujun.(2011).Heteroclinic orbits and chaotic regions for Josephson system.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,376(1),103-122.
MLA	Xu, Pengcheng,et al."Heteroclinic orbits and chaotic regions for Josephson system".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 376.1(2011):103-122.