Complex dynamics in Duffing system with two external forcings

doi:10.1016/j.chaos.2004.02.022

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	Complex dynamics in Duffing system with two external forcings
	Jing, ZJ ; Wang, RQ
	2005
发表期刊	CHAOS SOLITONS & FRACTALS
ISSN	0960-0779
卷号	23 期号:2 页码:399-411
摘要	Duffing's equation with two external forcing terms have been discussed. The threshold values of chaotic motion under the periodic and quasi-periodic perturbations are obtained by using second-order averaging method and Melnikov's method. Numerical simulations not only show the consistence with the theoretical analysis but also exhibit the interesting bifurcation diagrams and the more new complex dynamical behaviors, including period-n (n = 2,3,6,8) orbits, cascades of period-doubling and reverse period doubling bifurcations, quasi-periodic orbit, period windows, bubble from period-one to period-two, onset of chaos, hopping behavior of chaos, transient chaos, chaotic attractors and strange non-chaotic attractor, crisis which depends on the frequencies, amplitudes and damping. In particular, the second frequency plays a very important role for dynamics of the system, and the system can leave chaotic region to periodic motions by adjusting some parameter which can be considered as an control strategy of chaos. The computation of Lyapunov exponents confirm the dynamical behaviors. (C) 2004 Elsevier Ltd. All rights reserved.
DOI	10.1016/j.chaos.2004.02.022
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:000224148700008
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/1462
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.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Hunan Normal Univ, Dept Math, Changsha 410081, Peoples R China
推荐引用方式 GB/T 7714	Jing, ZJ,Wang, RQ. Complex dynamics in Duffing system with two external forcings[J]. CHAOS SOLITONS & FRACTALS,2005,23(2):399-411.
APA	Jing, ZJ,&Wang, RQ.(2005).Complex dynamics in Duffing system with two external forcings.CHAOS SOLITONS & FRACTALS,23(2),399-411.
MLA	Jing, ZJ,et al."Complex dynamics in Duffing system with two external forcings".CHAOS SOLITONS & FRACTALS 23.2(2005):399-411.