Controlling chaos in a pendulum equation with ultra-subharmonic resonances | |
Yang, Jianping1; Jing, Zhujun2,3 | |
刊名 | CHAOS SOLITONS & FRACTALS |
2009-10-30 | |
卷号 | 42期号:2页码:1214-1226 |
ISSN号 | 0960-0779 |
DOI | 10.1016/j.chaos.2009.03.035 |
英文摘要 | 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. |
资助项目 | National Science Foundation of China[10801135] ; National Science Foundation of China[10671063] |
WOS研究方向 | Mathematics ; Physics |
语种 | 英语 |
出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
WOS记录号 | WOS:000268550600075 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8605] |
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. |
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