Heteroclinic orbits and chaotic regions for Josephson system

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:376

Article

Xu, Pengcheng¹  Jing, Zhujun^1,2 

[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

关键词: Josephson equation;    Heteroclinic orbit;    Melnikov method;    Chaos;   

DOI  :  10.1016/j.jmaa.2010.11.050

来源: Elsevier

【 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.

【 授权许可】

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