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Heteroclinic orbits and chaotic regions for Josephson system
Xu, Pengcheng1; Jing, Zhujun1,2
2011-04-01
Source PublicationJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN0022-247X
Volume376Issue:1Pages:103-122
AbstractThe 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.
KeywordJosephson equation Heteroclinic orbit Melnikov method Chaos
DOI10.1016/j.jmaa.2010.11.050
Language英语
Funding ProjectNational Natural Science Foundation of China[6399100]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000286155800010
PublisherACADEMIC PRESS INC ELSEVIER SCIENCE
Citation statistics
Cited Times:6[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/12920
Collection应用数学研究所
Affiliation1.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
Recommended Citation
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.
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