Finite-Time Combination-Combination Synchronization for Hyperchaotic Systems

A new type of finite-time synchronization with two drive systems and two response systems is presented. Based on the finite-time stability theory, step-by-step control and nonlinear control method, a suitable controller is designed to achieve finite-time combination-combination synchronization among four hyperchaotic systems. Numerical simulations are shown to verify the feasibility and effectiveness of the proposed control technique.

[1]  Wei Zhang,et al.  Finite-time chaos synchronization of unified chaotic system with uncertain parameters , 2009 .

[2]  Louis M. Pecora,et al.  Fundamentals of synchronization in chaotic systems, concepts, and applications. , 1997, Chaos.

[3]  Luo Runzi,et al.  Finite-time stochastic combination synchronization of three different chaotic systems and its application in secure communication. , 2012, Chaos.

[4]  Wei Xu,et al.  Synchronization of two chaotic nonlinear gyros using active control , 2005 .

[5]  Xiaofeng Wu,et al.  Global finite-time synchronization of a class of the non-autonomous chaotic systems , 2012 .

[6]  Tong Shao-cheng,et al.  Fuzzy adaptive observer backstepping control for MIMO nonlinear systems , 2009 .

[7]  Junwei Sun,et al.  Transmission projective synchronization of multi-systems with non-delayed and delayed coupling via impulsive control. , 2012, Chaos.

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

[9]  R. Yamapi,et al.  General synchronization dynamics of coupled Van der Pol–Duffing oscillators , 2006 .

[10]  Jun Wang,et al.  Robustness Analysis of Global Exponential Stability of Recurrent Neural Networks in the Presence of Time Delays and Random Disturbances , 2012, IEEE Transactions on Neural Networks and Learning Systems.

[11]  M. Yassen.  Controlling chaos and synchronization for new chaotic system using linear feedback control , 2005 .

[12]  Teh-Lu Liao,et al.  Adaptive synchronization of chaotic systems and its application to secure communications , 2000 .

[13]  Yi Shen,et al.  General hybrid projective complete dislocated synchronization with non-derivative and derivative coupling based on parameter identification in several chaotic and hyperchaotic systems , 2013 .

[14]  Wang Xing-Yuan,et al.  Hyperchaotic Lorenz system , 2007 .

[15]  Yi Shen,et al.  Compound synchronization of four memristor chaotic oscillator systems and secure communication. , 2013, Chaos.

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

[17]  Jun Yu,et al.  Complete synchronization induced by disorder in coupled chaotic lattices , 2013 .

[18]  U. Vincent,et al.  Finite-time synchronization for a class of chaotic and hyperchaotic systems via adaptive feedback controller , 2011 .

[19]  Ping He,et al.  Finite-time mixed outer synchronization of complex networks with coupling time-varying delay. , 2012, Chaos.

[20]  Luo Runzi,et al.  Combination synchronization of three classic chaotic systems using active backstepping design. , 2011, Chaos.

[21]  Guangzhao Cui,et al.  Combination–combination synchronization among four identical or different chaotic systems , 2013 .