Chaos control in a pendulum system with excitations and phase shift
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- 作者：Xianwei Chen (1) (2)
Zhujun Jing (2) (3)
Xiangling Fu (1) - 关键词：Pendulum equation ; Phase shift ; Bifurcation ; Chaos control ; Melnikov methods
- 刊名：Nonlinear Dynamics
- 出版年：2014
- 出版时间：October 2014
- 年：2014
- 卷：78
- 期：1
- 页码：317-327
- 全文大小：1,636 KB
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Zhujun Jing (2) (3)
Xiangling Fu (1)
1. School of Mathematics and Computational Science, Hunan University of Science and Technology, Xiangtan聽, 411201, People鈥檚 Republic of China
2. College of Mathematics and Computer Science , Key Laboratory of High Performance Computing and Stochastic Information Processing (Ministry of Education of China), Hunan Normal University, Changsha聽, 410081, Hunan, People鈥檚 Republic of China
3. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing聽, 100190, People鈥檚 Republic of China - ISSN：1573-269X
文摘
Melnikov methods are used for suppressing homoclinic and heteroclinic chaos of a pendulum system with a phase shift and excitations. This method is based on the addition of adjustable amplitude and phase-difference of parametric excitation. Theoretically, we give the criteria of suppression of homoclinic and heteroclinic chaos, respectively. Numerical simulations are given to illustrate the effect of the chaos control in this system. Moreover, we calculate the maximum Lyapunov exponents (LEs) in parameter plane, and study how to vary the maximum LE when the parametric frequency varies.