Chaos behavior in the discrete BVP oscillator

CSpace

	Chaos behavior in the discrete BVP oscillator
	Jing, ZJ ; Jia, ZY ; Wang, RQ
	2002-03-01
发表期刊	INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
ISSN	0218-1274
卷号	12 期号:3 页码:619-627
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.
关键词	BVP oscillator snap-back repeller bifurcations of periodic orbits chaos
语种	英语
WOS研究方向	Mathematics ; Science & Technology - Other Topics
WOS类目	Mathematics, Interdisciplinary Applications ; Multidisciplinary Sciences
WOS记录号	WOS:000175109500011
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17376
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.