论文信息 - Synchronization of mutual coupled chaotic systems via partial stability theory

Synchronization of mutual coupled chaotic systems via partial stability theory

A scheme is proposed to achieve chaos synchronization for mutual coupled systems via partial stability theory. Under this scheme, three criteria are given to ensure chaos synchronization. The first criterion applies to the case without system perturbation and the other two apply to systems possessing vanishing and nonvanishing perturbations, respectively. Finally, coupled Lorenz systems are simulated to illustrate the theoretical analysis.

Yen-Sheng Chen | Zheng-Ming Ge | Z. Ge | Yen-Sheng Chen

[1] Chern.,et al. Synchronization of mutually coupled self-mixing modulated lasers , 2000, Physical review letters.

[2] Yen-Sheng Chen,et al. Adaptive synchronization of unidirectional and mutual coupled chaotic systems , 2005 .

[3] Victor B. Kazantsev,et al. Mutual synchronization of two lattices of bistable elements , 1997 .

[4] Yen-Sheng Chen,et al. Synchronization of unidirectional coupled chaotic systems via partial stability , 2004 .

[5] Mutual synchronization and desynchronization of Lorenz systems , 1998 .

[6] V. Vorotnikov. On stability and stabilization of motion with respect to a part of the variables , 1982 .

[7] Yongguang Yu,et al. The synchronization of linearly bidirectional coupled chaotic systems , 2004 .

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

[9] A. S. Oziraner. On stability of motion relative to a part of variables under constantly acting perturbations , 1981 .

[10] Norman R. Heckenberg,et al. Synchronization of mutually coupled chaotic systems , 1997 .

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

[12] P Woafo,et al. Synchronized states in a ring of mutually coupled self-sustained electrical oscillators. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.