Bifurcations of periodic orbits and chaos in damped and driven morse oscillator

doi:10.1016/j.chaos.2006.05.038

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	Bifurcations of periodic orbits and chaos in damped and driven morse oscillator
	Jing, Zhujun ; Deng, Jin ; Yang, Jianping
	2008-02-01
发表期刊	CHAOS SOLITONS & FRACTALS
ISSN	0960-0779
卷号	35 期号:3 页码:486-505
摘要	Damped and driven Morse oscillator is investigated in detail. The existence and the bifurcations of harmonics, second-order and third-order subharmonics, second-order and third-order superharmonics are given by using second-order averaging method. The numerical simulations including bifurcation diagrams in three- and two-dimensional spaces, maximum Lyapunov exponents, phase portraits, poincare map, exhibit the complicated dynamical behaviors. We show the period-doubling and reverse period-doubling routes to chaos, the onset of chaos, reverse period-6 bubble, period-4 bubble, period-one orbit suddenly switching to an invariant torus, chaotic regions with invariant torus or with complicated periodic windows, or with interior crisis, nice chaotic attractors, non-attracting chaotic set, and a new type of non-chaotic attractors. Moreover, the influence of initial conditions on the dynamical behavior is considered. Combining the existing results of Wiggins et al. with the new results reported in this paper, a more complete description of the system is now obtained. (C) 2006 Elsevier Ltd. All rights reserved.
DOI	10.1016/j.chaos.2006.05.038
语种	英语
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000250909000008
出版者	PERGAMON-ELSEVIER SCIENCE 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/5917
专题	中国科学院数学与系统科学研究院
通讯作者	Jing, Zhujun
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Hunan Normal Univ, Dept Math, Changsha 410081, Peoples R China 3.Chinese Acad Sci, Grad Sch, Beijing 100039, Peoples R China 4.Univ Agr, Coll Sci, Beijing 100083, Peoples R China
推荐引用方式 GB/T 7714	Jing, Zhujun,Deng, Jin,Yang, Jianping. Bifurcations of periodic orbits and chaos in damped and driven morse oscillator[J]. CHAOS SOLITONS & FRACTALS,2008,35(3):486-505.
APA	Jing, Zhujun,Deng, Jin,&Yang, Jianping.(2008).Bifurcations of periodic orbits and chaos in damped and driven morse oscillator.CHAOS SOLITONS & FRACTALS,35(3),486-505.
MLA	Jing, Zhujun,et al."Bifurcations of periodic orbits and chaos in damped and driven morse oscillator".CHAOS SOLITONS & FRACTALS 35.3(2008):486-505.