Adaptive synchronization between two different hyperchaotic systems

Abstract This work presents chaos synchronization between two different hyperchaotic systems using adaptive control. The sufficient conditions for achieving synchronization of two high dimensional chaotic systems are derived based on Lyapunov stability theory, and an adaptive control law and a parameter update rule for unknown parameters are given such that generalized Henon–Heiles system is controlled to be hyperchaotic Chen system. Theoretical analysis and numerical simulations are shown to verify the results.

[1]  T. Chai,et al.  Adaptive synchronization between two different chaotic systems with unknown parameters , 2006 .

[2]  Guanrong Chen,et al.  Robust adaptive synchronization of uncertain dynamical networks , 2004 .

[3]  Kuang-Yow Lian,et al.  Adaptive synchronization design for chaotic systems via a scalar driving signal , 2002 .

[4]  Ju H. Park,et al.  Chaos synchronization between two different chaotic dynamical systems , 2006 .

[5]  Guanrong Chen,et al.  Chaos Synchronization of General Lur'e Systems via Time-Delay Feedback Control , 2003, Int. J. Bifurc. Chaos.

[6]  Leon O. Chua,et al.  Conditions for impulsive Synchronization of Chaotic and hyperchaotic Systems , 2001, Int. J. Bifurc. Chaos.

[7]  H. N. Agiza,et al.  Chaos synchronization of Lü dynamical system , 2004 .

[8]  X. Shan,et al.  A linear feedback synchronization theorem for a class of chaotic systems , 2002 .

[9]  Recai Kiliç,et al.  Experimental study on impulsive synchronization between two modified Chua's circuits , 2006 .

[10]  Jinhu Lu,et al.  Chaos synchronization between linearly coupled chaotic systems , 2002 .

[11]  Zhengzhi Han,et al.  Controlling and synchronizing chaotic Genesio system via nonlinear feedback control , 2003 .

[12]  A. A. Alexeyev,et al.  CHAOTIC SYNCHRONIZATION OF MUTUALLY-COUPLED GENERATORS WITH FREQUENCY-CONTROLLED FEEDBACK LOOP , 1995 .

[13]  Ju H. Park.  Adaptive synchronization of hyperchaotic Chen system with uncertain parameters , 2005 .

[14]  M. T. Yassen,et al.  Adaptive synchronization of two different uncertain chaotic systems [rapid communication] , 2005 .

[15]  Carroll,et al.  Synchronization in chaotic systems. , 1990, Physical review letters.

[16]  M. T. Yassen,et al.  Adaptive control and synchronization of a modified Chua's circuit system , 2003, Appl. Math. Comput..

[17]  M. Tadi,et al.  Synchronization of chaotic systems based on SDRE method , 2006 .

[18]  Jun-an Lu,et al.  Adaptive feedback synchronization of a unified chaotic system , 2004 .

[19]  Zhenya Yan,et al.  Controlling hyperchaos in the new hyperchaotic Chen system , 2005, Appl. Math. Comput..

[20]  Guanrong Chen,et al.  Generating Hyperchaos via State Feedback Control , 2005, Int. J. Bifurc. Chaos.

[21]  Guo-Ping Jiang,et al.  A New Criterion for Chaos Synchronization Using Linear State Feedback Control , 2003, Int. J. Bifurc. Chaos.