Bifurcations of Periodic Solutions and Chaos in Josephson System with Parametric Excitation
文献类型：期刊论文
| 作者 | Yuan, Shao-liang1; Jing, Zhu-jun1,2 |
| 刊名 | ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
 |
| 出版日期 | 2015 |
| 卷号 | 31期号:2页码:335-368 |
| 关键词 | Josephson system bifurcations chaos second-order averaging method Melnikov method |
| ISSN号 | 0168-9673 |
| DOI | 10.1007/s10255-014-0447-z |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000355060400006 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19877]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。