Anti-phase and Complete-synchronization in Coupled Chen System via Active Control

In this paper, we study synchronization of Chen system by adaptive control. We obtain a sufficient condition which is easily verified to guarantee that part of the states of Chen system are anti-phase synchronized, and part states complete-synchronized.

[1]  Kurths,et al.  Phase synchronization of chaotic oscillators. , 1996, Physical review letters.

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

[3]  Awad El-Gohary,et al.  Optimal synchronization of Rössler system with complete uncertain parameters , 2006 .

[4]  Tingwen Huang,et al.  Coexistence of anti-phase and complete synchronization in coupled chen system via a single variable , 2008 .

[5]  Xiaofeng Liao,et al.  Lag synchronization of Rossler system and Chua circuit via a scalar signal , 2004 .

[6]  Ming-Chung Ho,et al.  Phase and anti-phase synchronization of two chaotic systems by using active control , 2002 .

[7]  Chuandong Li,et al.  Chaotic lag synchronization of coupled time-delayed systems and its applications in secure communication , 2004 .

[8]  Er-Wei Bai,et al.  Synchronization of two Lorenz systems using active control , 1997 .

[9]  Y. Lai,et al.  Observability of lag synchronization of coupled chaotic oscillators. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[10]  Louis M. Pecora,et al.  Synchronizing chaotic circuits , 1991 .

[11]  Chuandong Li,et al.  Synchronization of a class of coupled chaotic delayed systems with parameter mismatch. , 2007, Chaos.

[12]  Louis M. Pecora,et al.  Synchronizing chaotic systems , 1993, Optics & Photonics.

[13]  E. Dowell,et al.  Chaotic Vibrations: An Introduction for Applied Scientists and Engineers , 1988 .

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