Synchronization of Different Chaotic Systems Based on Antisymmetric Structure

The problem of synchronization of different chaotic systems is investigated. By using the direct design control method, the synchronization controler is designed to transform the error system into a nonlinear system with a special antisymmetric structure. The sufficient stability conditions are presented for such systems, and the complete synchronization of chaotic systems is realized. Finally, the corresponding numerical simulations demonstrate the effectiveness of the proposed schemes.

[1]  Jinde Cao,et al.  Complete Periodic Synchronization of Delayed Neural Networks with Discontinuous Activations , 2010, Int. J. Bifurc. Chaos.

[2]  Shuguang Guan,et al.  Phase synchronization between two essentially different chaotic systems. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

[4]  Shuo Tang,et al.  Chaos synchronization in semiconductor lasers with optoelectronic feedback , 2003 .

[5]  Eduardo Serrano,et al.  Synchronization effects using a piecewise linear map-based spiking-bursting neuron model , 2006, Neurocomputing.

[6]  Yan Liu,et al.  Synchronization of N different coupled chaotic systems with ring and chain connections , 2008 .

[7]  Yongguang Yu,et al.  Global synchronization of three coupled chaotic systems with ring connection , 2005 .

[8]  Jinde Cao,et al.  Filippov systems and quasi-synchronization control for switched networks. , 2012, Chaos.

[9]  M. Yahyazadeh,et al.  Synchronization of chaotic systems with known and unknown parameters using a modified active sliding mode control. , 2011, ISA transactions.

[10]  Jian-An Fang,et al.  Synchronization of N-coupled fractional-order chaotic systems with ring connection , 2010 .

[11]  Jun-an Lu,et al.  Adaptive coupled synchronization among multi-Lorenz systems family ☆ , 2007 .

[12]  Paul Woafo,et al.  Chaotic synchronization with experimental application to secure communications , 2009 .

[13]  Giuseppe Grassi.  Propagation of projective synchronization in a series connection of chaotic systems , 2010, J. Frankl. Inst..

[14]  M. Yassen.  Controlling, synchronization and tracking chaotic Liu system using active backstepping design , 2007 .

[15]  Yuanwei Jing,et al.  Generalized projective synchronization of different chaotic systems based on antisymmetric structure , 2009 .

[16]  Jing Yuan-wei,et al.  Adaptive synchronization and anti-synchronization of two different chaotic systems , 2009 .

[17]  Qun-Li Zhang.  Synchronization of multi-chaotic systems via ring impulsive control , 2010 .

[18]  Jinde Cao,et al.  Robust State Estimation for Neural Networks With Discontinuous Activations , 2010, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[19]  Yuanwei Jing,et al.  Modified projective synchronization of chaotic systems with disturbances via active sliding mode control , 2010 .

[20]  Jiangang Zhang,et al.  Synchronization of Three Identical Systems and Its Application for Secure Communication with Noise Perturbation , 2009, 2009 International Conference on Information Engineering and Computer Science.