Bifurcations of Periodic Solutions and Chaos in Josephson System with Parametric Excitation

doi:10.1007/s10255-014-0447-z

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	Bifurcations of Periodic Solutions and Chaos in Josephson System with Parametric Excitation
	Yuan, Shao-liang 1; Jing, Zhu-jun 1,2
	2015
发表期刊	ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
ISSN	0168-9673
卷号	31 期号:2 页码:335-368
摘要	Josephson system with parametric excitation is investigated. Using second-order averaging method and Melnikov function, we analyze the existence and bifurcations for harmonic, (2, 3, n-order) subharmonics and (2, 3-order) superharmonics and the heterocilinic and homoclinic bifurcations for chaos under periodic perturbation. Using numerical simulation, we check our theoretical analysis and further study the effect of the parameters on dynamics. We find the complex dynamics, including the jumping behaviors, symmetry-breaking, chaos converting to periodic orbits, interior crisis, non-attracting chaotic set, interlocking (reverse) period-doubling bifurcations from periodic orbits, the processes from interlocking period-doubling bifurcations of periodic orbits to chaos after strange non-chaotic motions when the parameter beta increases, etc.
关键词	Josephson system bifurcations chaos second-order averaging method Melnikov method
DOI	10.1007/s10255-014-0447-z
语种	英语
资助项目	National Natural Science Foundation of China[11361037] ; National Natural Science Foundation of China[11371132] ; Natural Science Foundation of Hunan Province[11JJ3012] ; Graduate Innovation Fund of Hunan Province[CX2011B183]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000355060400006
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19878
专题	中国科学院数学与系统科学研究院
通讯作者	Jing, Zhu-jun
作者单位	1.Yichun Univ, Coll Math & Comp Sci, Yichun 330013, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Ctr Dynam Syst, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Yuan, Shao-liang,Jing, Zhu-jun. Bifurcations of Periodic Solutions and Chaos in Josephson System with Parametric Excitation[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2015,31(2):335-368.
APA	Yuan, Shao-liang,&Jing, Zhu-jun.(2015).Bifurcations of Periodic Solutions and Chaos in Josephson System with Parametric Excitation.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,31(2),335-368.
MLA	Yuan, Shao-liang,et al."Bifurcations of Periodic Solutions and Chaos in Josephson System with Parametric Excitation".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 31.2(2015):335-368.