Adaptive synchronization of neural networks with different attractors

Abstract This paper aims to present an adaptive control scheme for the synchronization of two classes of uncertain neural networks with different attractors. A new sufficient condition for the global synchronization of two kinds of neural networks with different attractors is derived. The proposed control method is efficient and easy to be implemented. Numerical simulation is used to show the effectiveness of the obtained result. *Supported by National Natural Science Foundation of China (Grant Nos. 60534010, 60572070 and 60521003) and the Program for Changjiang Scholars and Innovative Research Team University

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

[2]  Teh-Lu Liao,et al.  Adaptive synchronization of chaotic systems and its application to secure communications , 2000 .

[3]  S Sundar,et al.  Synchronization of randomly multiplexed chaotic systems with application to communication. , 2000, Physical review letters.

[4]  Chi-Chuan Hwang,et al.  Exponential synchronization of a class of chaotic neural networks , 2005 .

[5]  Krishnamurthy Murali,et al.  Bifurcation and Controlling of Chaotic Delayed Cellular Neural Networks , 1998 .

[6]  Raúl Toral,et al.  Anticipated synchronization: a metaphorical linear view. , 2004, Chaos.

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

[8]  Chi-Chuan Hwang,et al.  Exponential synchronization of a class of neural networks with time-varying delays , 2006, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[9]  Guanrong Chen,et al.  Chaos Synchronization of General Lur'e Systems via Time-Delay Feedback Control , 2003, Int. J. Bifurc. Chaos.

[10]  M. Feki.  An adaptive chaos synchronization scheme applied to secure communication , 2003 .

[11]  Junan Lu,et al.  Adaptive synchronization of an uncertain complex dynamical network , 2006, IEEE Transactions on Automatic Control.

[12]  Hao Zhang,et al.  Synchronization of uncertain chaotic systems with parameters perturbation via active control , 2004 .

[13]  F. Zou,et al.  Bifurcation and chaos in cellular neural networks , 1993 .

[14]  M. M. El-Dessoky,et al.  Adaptive synchronization for four-scroll attractor with fully unknown parameters , 2006 .

[15]  Guanrong Chen,et al.  Global Synchronization of Coupled Delayed Neural Networks and Applications to Chaotic CNN Models , 2004, Int. J. Bifurc. Chaos.

[16]  Hongtao Lu.  Chaotic attractors in delayed neural networks , 2002 .

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

[18]  Hongjie Yu,et al.  Chaotic synchronization based on stability criterion of linear systems , 2003 .

[19]  M. Gilli.  Strange attractors in delayed cellular neural networks , 1993 .