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
	2011-04-01
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	376 期号:1 页码:103-122
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.
关键词	Josephson equation Heteroclinic orbit Melnikov method Chaos
DOI	10.1016/j.jmaa.2010.11.050
语种	英语
资助项目	National Natural Science Foundation of China[6399100]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000286155800010
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/12920
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.