On Inverse Generalized Synchronization of Continuous Chaotic Dynamical Systems

In this paper, the inverse generalized synchronization problem for different dimensional chaotic dynamical systems in continuous-time is proposed and investigated. New results are derived using new control method and stability theory. Numerical simulations are used to verify the effectiveness of the proposed schemes.

[1]  Jinhu Lu,et al.  Synchronization of an uncertain unified chaotic system via adaptive control , 2002 .

[2]  Xu Ling-Yu,et al.  Lag Synchronization of Coupled Multidelay Systems , 2012 .

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

[4]  Ying-Cheng Lai,et al.  Controlling chaos , 1994 .

[5]  Z. Guan,et al.  Generalized synchronization of continuous chaotic system , 2006 .

[6]  Bishnu Charan Sarkar,et al.  Complete and generalized synchronization of chaos and hyperchaos in a coupled first-order time-delayed system , 2013 .

[7]  O. Rössler.  An equation for continuous chaos , 1976 .

[8]  Andrew Chi Sing Leung,et al.  Complete (anti-)synchronization of chaotic systems with fully uncertain parameters by adaptive control , 2011 .

[9]  Kestutis Pyragas.  Continuous control of chaos by self-controlling feedback , 1992 .

[10]  Xin Li.  Generalized Projective Synchronization Using Nonlinear Control Method , 2009 .

[11]  Chi-Ching Yang,et al.  Robust adaptive sliding mode control for synchronization of space-clamped FitzHugh–Nagumo neurons , 2012 .

[12]  Cun-Fang Feng,et al.  Projective synchronization between two different time-delayed chaotic systems using active control approach , 2010 .

[13]  Xuebing Zhang,et al.  Anti-synchronization of Two Different Hyperchaotic Systems via Active and Adaptive Control , 2008 .

[14]  Stochastic synchronization of oscillations in dissipative systems , 1986 .

[15]  H. Fujisaka,et al.  Stability Theory of Synchronized Motion in Coupled-Oscillator Systems , 1983 .

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

[17]  H. Yau.  Design of adaptive sliding mode controller for chaos synchronization with uncertainties , 2004 .

[18]  E. Lorenz.  Deterministic nonperiodic flow , 1963 .

[19]  S. Boccaletti,et al.  Synchronization of chaotic systems , 2001 .

[20]  Jun-an Lu,et al.  Parameter identification and backstepping control of uncertain Lü system , 2003 .

[21]  M. Rabinovich,et al.  Stochastic synchronization of oscillation in dissipative systems , 1986 .

[22]  徐伟,et al.  New scheme of anticipating synchronization for arbitrary anticipation time and its application to long-term prediction of chaotic states , 2007 .

[23]  Zhongjun Ma,et al.  Generalized synchronization of different dimensional chaotic dynamical systems , 2007 .

[24]  Ling Liu,et al.  Analysis of a Novel Four-Dimensional Hyperchaotic System , 2008 .

[25]  H. Fujisaka,et al.  Stability Theory of Synchronized Motion in Coupled-Oscillator Systems. II: The Mapping Approach , 1983 .

[26]  Guanrong Chen,et al.  The generation and circuit implementation of a new hyper-chaos based upon Lorenz system , 2007 .

[27]  Guoliang Cai,et al.  Controlling hyperchaos in a novel hyperchaotic system , 2009 .

[28]  Chun-Guang Li,et al.  Wavelet Phase Synchronization of Fractional-Order Chaotic Systems , 2012 .

[29]  Guoliang Cai,et al.  Modified function lag projective synchronization of a financial hyperchaotic system , 2012 .