The antisynchronization of a class of chaotic delayed neural networks

Chaos

Volumn 17, Issue 4, 2007, Pages

  Zhu, Huibin ^a   Cui, Baotong ^a  

^a JIANGNAN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 37649007561     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2816941     Document Type: Article

References (25)

1. L. Pecora and T. Carroll, " Synchronization in chaotic systems., " Phys. Rev. Lett. 64, 821-824 (1990).
2. S. Boccaletti, J. Kurths, G. Osipov, D. L. Valladares, and C. Zhou, Phys. Rep. 366, 1 (2002).
3. E. Rodriguez and N. George, " Perception's shadow: Long-distance synchronization of human brain activity., " Nature (London) 397, 430-443 (1999).
4. Robert C. Elson and Allen I. Selverston, " Synchronous behavior of two coupled biological neurons., " Phys. Rev. E 81, 5692-5695 (1998).
5. F. Varela and J. Lachaux, " The brainweb: Phase synchronization and large-scale integration., " Nat. Rev. Neurosci. 2, 229-239 (2001).
6. M. L. Pecora and T. L. Carroll, " Synchronization in chaotic systems[J]., " Phys. Rev. Lett. 64, 821-824 (1990).
7. M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, " Synchronized firing in coupled inhomogeneous excitable neurons., " Phys. Rev. Lett. 76, 1804-1807 (1996).
8. S. Taherion and Y. C. Lai, " Observability of lag synchronization of coupled chaotic oscillators., " Phys. Rev. E 59, R6247-R6250 (1999).
9. Nikolai F. Rulkov, Mikhail M. Sushchik, and Lev S. Tsimring, " Generalized synchronization of chaos in directionally coupled chaotic systems., " Phys. Rev. E 51, 980-994 (1995).
10. K. Pyragas, " Weak and strong synchronization of chaos., " Phys. Rev. E 54, R4508-R4511 (1996).
11. J. Meng and X. Wang, " Robust antisynchronization of a class of delayed chaotic neural networks., " Chaos 17, 1-6 (2007).
12. D. Miller, K. Kowalski, and A. Lozowski, " Synchronization and antisynchronization of Chua's oscillators via a piecewise linear coupling circuit., " Chaos 5, 458-462 (1999).
13. Y. Zhang, and J. Sun, " Chaotic synchronization and antisynchronization based on suitable separation., " Phys. Lett. A 330, 442-447 (2004).
14. J. Hu, S. Chen, and L. Chen, " Adaptive control for antisynchronization of Chuas chaotic system., " Phys. Lett. A 339, 455-460 (2005).
15. I. Wedekind and U. Parlitz, " Experimental observation of synchronization and antisynchronization of chaotic low-frequency-fluctuations in external cavity semiconductor laser., " Int. J. Bifurcation Chaos Appl. Sci. Eng. 11, 1141-1147 (2001).
16. I. Wedekind and U. Parlitz, " Synchronization and antisynchronization of chaotic power drop-outs and jump-ups of coupled semiconductor lasers., " Phys. Rev. E 66, 026218 (2002).
17. M. Kim, S. W. Rim, W. Key, " Antisynchronization of chaotic oscillators., " Phys. Lett. A 320, 39-46 (2003).
18. S. Chen, F. Wang, and C. P. Wang, " Synchronizing strict-feedback and general strict-feedback chaotic systems via a single controller., " Chaos, Solitons Fractals 20, 235-243 (2004).
19. S. Cincotti S. Stefano, " Complex dynamical behaviors in two nonlinearly coupled Chuas circuits., " Chaos, Solitons Fractals 21, 633-641 (2004).
20. W. Liu, X. Qian, J. Yang, and J. Xiao, " Antisynchronization in coupled chaotic oscillators., " Phys. Lett. A 354, 119-125 (2006).
21. J. Cao, " Periodic oscillation and exponential stability of delayed CNNs., " Phys. Lett. A 270, 157-163 (2000).
22. H. T. Lu, " Stability criteria for delayed neural networks., " Phys. Rev. E 64, 051901 (2001).
23. T. P. Chen, " Global exponential stability of delayed Hopfield neural networks., " Neural Networks 14, 977-980 (2001).
24. X. Y. Lou and B. T. Cui, " Asymptotic synchronization of a class of neural networks with reaction-diffusion terms and time-varying delays., " Math. Appl. 52, 897-904 (2006).
25. S. Boyd, L. EI Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory (SIAM, Philadelphia, 1994).