Chaos synchronization between two chaotic systems with known and unknown parameters


Junbiao Guan School of Science Hangzhou Dianzi University Hangzhou, Zhejiang 310018, P.R.ChinaKaihua Wang College of Mathematics and Statistics Hainan Normal University Haikou, Hainan 571158, P.R.China


In this paper, we deal with chaos synchronization of two different chaotic systems (Genesio system and the chaotic system proposed by Chen and Lee) with known and unknown parameters. Based on the Lyapunov stability theory, we successfully design a controller to globally synchronize the two different chaotic systems with known parameters. By employing adaptive synchronization scheme, we realize the synchronization of the two different chaotic systems with unknown parameters. Numerical simulations validate the analytical results.


Chaos synchronization; Lyapunov stability theory; adaptive control.


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Total: 12 articles

  • [1] Shao Shi-Quan Gao Xin Liu Xing-Wen(School of Electrical and Information Engineering,Southwest University for Nationalities,Chengdu 610041,China), Controlling projective synchronization in coupled fractional order chaotic Chen system, Acta Physica Sinica,
  • [2] Maoyin Chen;;Zhengzhi Han, Controlling and synchronizing chaotic Genesio system via nonlinear feedback control, Chaos, Solitons and Fractals,
  • [3] J.Xiao;Y.Yi, Coupled-adaptive synchronization for Chen chaotic systems with different parameters, Chaos,Solitons&Fractals,
  • [4] J.Park, Adaptive controller design for modified projective synchronization of Genesio-Tesi chaotic system with uncer-tain parameters, Chaos,Solitons&Fractals,


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