Controlling chaos in a pendulum equation with ultra-subharmonic resonances

doi:10.1016/j.chaos.2009.03.035

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	Controlling chaos in a pendulum equation with ultra-subharmonic resonances
	Yang, Jianping 1; Jing, Zhujun 2,3
	2009-10-30
发表期刊	CHAOS SOLITONS & FRACTALS
ISSN	0960-0779
卷号	42 期号:2 页码:1214-1226
摘要	Analytical and numerical results concerning control of chaos in a pendulum equation with parametric and external excitations are given by using Melnikov methods. We give the necessary conditions of chaos control with ultra-subharmonic resonances (i.e. Omega/omega = p/q, q > 1, p, q are prime), where homoclinic chaos or heteroclinic chaos can be inhibited. Numerical simulations show that chaotic behavior can be converted to period-nq (n is an element of Z(+)) orbits by adjusting amplitude and phase-difference of parametric excitation, and the distribution of maximum Lyapunov exponents in parameter-plane (Psi, beta) gives the regions in which chaos can be controlled. (C) 2009 Elsevier Ltd. All rights reserved.
DOI	10.1016/j.chaos.2009.03.035
语种	英语
资助项目	National Science Foundation of China[10801135] ; National Science Foundation of China[10671063]
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000268550600075
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/8606
专题	中国科学院数学与系统科学研究院
通讯作者	Yang, Jianping
作者单位	1.China Agr Univ, Coll Sci, Beijing 100083, Peoples R China 2.Hunan Normal Univ, Coll Math & Comp Sci, Changsha 410081, Hunan, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Yang, Jianping,Jing, Zhujun. Controlling chaos in a pendulum equation with ultra-subharmonic resonances[J]. CHAOS SOLITONS & FRACTALS,2009,42(2):1214-1226.
APA	Yang, Jianping,&Jing, Zhujun.(2009).Controlling chaos in a pendulum equation with ultra-subharmonic resonances.CHAOS SOLITONS & FRACTALS,42(2),1214-1226.
MLA	Yang, Jianping,et al."Controlling chaos in a pendulum equation with ultra-subharmonic resonances".CHAOS SOLITONS & FRACTALS 42.2(2009):1214-1226.