Adaptive anti-synchronization of different chaotic dynamical systems

Abstract We have observed anti-synchronization phenomena in different chaotic dynamical systems. Anti-synchronization can be characterized by the vanishing of the sum of relevant variables. Anti-synchronization problem for different chaotic dynamical systems with fully unknown parameters in response system is analyzed. This technique is applied to achieve anti-synchronization between Lorenz system, Lu system and Four-scroll system. Numerical simulations are provided to verify the effectiveness of the proposed methods.

[1]  Parlitz,et al.  Generalized synchronization, predictability, and equivalence of unidirectionally coupled dynamical systems. , 1996, Physical review letters.

[2]  Guanrong Chen,et al.  The compound structure of a new chaotic attractor , 2002 .

[3]  GUANRONG CHEN,et al.  Can a Three-Dimensional Smooth Autonomous Quadratic Chaotic System Generate a Single Four-scroll Attractor? , 2004, Int. J. Bifurc. Chaos.

[4]  Guohui Li,et al.  An observer-based anti-synchronization , 2006 .

[5]  Jinhu Lu,et al.  A New Chaotic Attractor Coined , 2002, Int. J. Bifurc. Chaos.

[6]  E. M. Shahverdiev,et al.  Lag synchronization in time-delayed systems , 2002 .

[7]  Jianbo Liu,et al.  Anti-phase synchronization in coupled map lattices , 2000 .

[8]  Guo-Hui Li,et al.  Anti-synchronization in different chaotic systems , 2007 .

[9]  Daizhan Cheng,et al.  Bridge the Gap between the Lorenz System and the Chen System , 2002, Int. J. Bifurc. Chaos.

[10]  S. S. Yang,et al.  Generalized Synchronization in Chaotic Systems , 1998 .

[11]  Guanrong Chen,et al.  YET ANOTHER CHAOTIC ATTRACTOR , 1999 .

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

[13]  Hartmut Logemann,et al.  Asymptotic Behaviour of Nonlinear Systems , 2004, Am. Math. Mon..

[14]  Ulrich Parlitz,et al.  Experimental Observation of Synchronization and Anti-Synchronization of Chaotic Low-Frequency-fluctuations in External cavity semiconductor Lasers , 2001, Int. J. Bifurc. Chaos.

[15]  Yinping Zhang,et al.  Chaotic synchronization and anti-synchronization based on suitable separation , 2004 .

[16]  Shihua Chen,et al.  Adaptive control for anti-synchronization of Chua's chaotic system , 2005 .

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

[18]  Young-Jai Park,et al.  Anti-synchronization of chaotic oscillators , 2003 .