Chaos generalized synchronization of new Mathieu-Van der Pol systems with new Duffing-Van der Pol systems as functional system by GYC partial region stability theory

作者: Zheng-Ming Ge , Shih-Yu Li

DOI: 10.1016/J.APM.2011.03.022

关键词:

摘要: Abstract In this paper, a new strategy by using GYC partial region stability theory is proposed to achieve generalized chaos synchronization. via the theory, Lyapunov function used simple linear homogeneous of states and lower order controllers are much more introduce less simulation error. Numerical simulations given for Mathieu–Van der Pol system Duffing–Van show effectiveness strategy.

参考文章(18)
Hsien-Keng Chen, Global chaos synchronization of new chaotic systems via nonlinear control Chaos Solitons & Fractals. ,vol. 23, pp. 1245- 1251 ,(2005) , 10.1016/J.CHAOS.2004.06.040
Zheng-Ming Ge, Jung-Kui Yu, Hsien-Keng Chen, Three Asymptotical Stability Theorems on Partial Region with Applications Japanese Journal of Applied Physics. ,vol. 37, pp. 2762- 2773 ,(1998) , 10.1143/JJAP.37.2762
Zheng-Ming Ge, Chien-Cheng Chen, Phase synchronization of coupled chaotic multiple time scales systems Chaos Solitons & Fractals. ,vol. 20, pp. 639- 647 ,(2004) , 10.1016/J.CHAOS.2003.08.001
Ricardo Femat, Gualberto Solı́s-Perales, On the chaos synchronization phenomena Physics Letters A. ,vol. 262, pp. 50- 60 ,(1999) , 10.1016/S0375-9601(99)00667-2
Yun Chen, Xiaofeng Wu, Zhifang Gui, Global synchronization criteria for a class of third-order non-autonomous chaotic systems via linear state error feedback control Applied Mathematical Modelling. ,vol. 34, pp. 4161- 4170 ,(2010) , 10.1016/J.APM.2010.04.013
Chen-Kuo Weng, Asok Ray, Dai Xiaowen, Modelling of power plant dynamics and uncertainties for robust control synthesis Applied Mathematical Modelling. ,vol. 20, pp. 501- 512 ,(1996) , 10.1016/0307-904X(95)00169-K
Xiaowu Mu, Lijun Pei, Synchronization of the near-identical chaotic systems with the unknown parameters Applied Mathematical Modelling. ,vol. 34, pp. 1788- 1797 ,(2010) , 10.1016/J.APM.2009.09.023
Cai-Wan Chang-Jian, Her-Terng Yau, Jiann-Lin Chen, Nonlinear dynamic analysis of a hybrid squeeze-film damper-mounted rigid rotor lubricated with couple stress fluid and active control Applied Mathematical Modelling. ,vol. 34, pp. 2493- 2507 ,(2010) , 10.1016/J.APM.2009.11.014
Xinsong Yang, Jinde Cao, Finite-time stochastic synchronization of complex networks Applied Mathematical Modelling. ,vol. 34, pp. 3631- 3641 ,(2010) , 10.1016/J.APM.2010.03.012