Chaos behavior in the discrete BVP oscillator
文献类型:期刊论文
作者 | Jing, ZJ; Jia, ZY; Wang, RQ |
刊名 | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
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出版日期 | 2002-03-01 |
卷号 | 12期号:3页码:619-627 |
关键词 | BVP oscillator snap-back repeller bifurcations of periodic orbits chaos |
ISSN号 | 0218-1274 |
英文摘要 | The discrete BVP oscillator obtained through the Euler method is investigated, and also first proved that there exist chaotic phenomena in the sense of Marotto's definition of chaos and two-period cycles. And numerical simulations not only show the consistence with the theoretical analysis but also exhibit the complex dynamical behaviors, including the ten-periodic orbit, a cascade of period-doubling bifurcation, quasiperiodic orbits and the chaotic orbits in Marotto's chaos and intermitten's chaos. The computations of Lyapunov exponents confirm the existence of dynamical behaviors. |
WOS研究方向 | Mathematics ; Science & Technology - Other Topics |
语种 | 英语 |
WOS记录号 | WOS:000175109500011 |
出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17375] ![]() |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Jing, ZJ |
作者单位 | 1.Hunan Normal Univ, Dept Math, Changsha 410081, Peoples R China 2.Chinese Acad Sci, Math Inst, Acad Math & Syst Sci, Beijing 100080, Peoples R China 3.Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Jing, ZJ,Jia, ZY,Wang, RQ. Chaos behavior in the discrete BVP oscillator[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,2002,12(3):619-627. |
APA | Jing, ZJ,Jia, ZY,&Wang, RQ.(2002).Chaos behavior in the discrete BVP oscillator.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,12(3),619-627. |
MLA | Jing, ZJ,et al."Chaos behavior in the discrete BVP oscillator".INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 12.3(2002):619-627. |
入库方式: OAI收割
来源:数学与系统科学研究院
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