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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
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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