Exponential synchronization of a class of chaotic neural networks

Chaos, Solitons and Fractals

Volumn 24, Issue 1, 2005, Pages 197-206

  Cheng, Chao Jung ^a   Liao, Teh Lu ^a   Hwang, Chi Chuan ^a  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; LYAPUNOV METHODS; MATRIX ALGEBRA; PROBLEM SOLVING; SYNCHRONIZATION; VLSI CIRCUITS;

CHAOTIC NEURAL NETWORKS; EXPONENTIAL SYNCHRONIZATION; HOPFIELD NEURAL NETWORKS; SYNCHRONIZATION PROBLEMS;

CELLULAR NEURAL NETWORKS;

EID: 9644302419     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(04)00566-1     Document Type: Article

References (29)

1. Pecora LM, Carroll TL. Synchronization in chaotic systems. Phys Rev Lett 1990;64(8):821-4.
2. Carroll TL, Perora LM. Synchronization chaotic circuits. IEEE Trans Circ Syst 1991;38(4):453-6.
3. Hartley C, Mossayebi F. Chaotic dynamics of the driven Chua's circuit. Int J Bifurcat Chaos 1991;2:881-5.
4. Chen G, Dong X. On feedback control of chaotic continuous-time systems. IEEE Trans Circ Syst 1993;40:591-601.
5. Wu CW, Chua LO. A unified framework for synchronization and control of dynamical systems. Int J Bifurcat Chaos 1994;4(4):979-98.
6. Thangavel P, Murali K, Lakshmanan M. Bifurcation and controlling of chaotic delayed cellular neural networks. Int J Bifurcat Chaos 1998;8(12):2481-92.
7. Hendrik R. Controlling chaotic systems with multiple strange attractors. Phys Lett A 2002;300:182-8.
8. Yu X. Controlling chaos using input-output linearization approach. Int J Bifurcat Chaos 1997;7:1659-64.
9. Bernardo MD. An adaptive approach control and synchronization of continuous-time chaotic systems. Int J Bifurcat Chaos 1996;6:557-68.
10. Jiang GP, Tang KS, Chen G. A simple global synchronization criterion for coupled chaotic systems. Chaos, Solitons & Fractals 2003;15:925-35.
11. Rangarajan G, Ding M. Stability of synchronized chaos in coupled dynamical systems. Phys Lett A 2002;296:204-9.
12. Yu H, Liu Y. Chaotic synchronization based on stability criterion of linear systems. Phys Lett A 2003;314:292-8.
13. Grassi G, Mascolo S. Synchronizing high dimensional chaotic systems via eigenvalue placement with application to cellular neural networks. Int J Bifurcat Chaos 1999;9(4):705-11.
14. Liu F, Ren Y, Shan X, Qiu Z. A linear feedback synchronization theorem for a class of chaotic systems. Chaos, Solitons & Fractals 2002;13(4):723-30.
15. Liao TL, Tsai SH. Adaptive synchronization of chaotic systems and its application to secure communications. Chaos, Solitons & Fractals 2000;11(9):1387-96.
16. Sundar S, Minai AA. Synchronization of randomly multiplexed chaotic systems with application to communication. Phys Rev Lett 2000;85:5456-9.
17. Feki M. An adaptive chaos synchronization scheme applied to secure communication. Chaos, Solitons & Fractals 2003;18:141-8.
18. Carpenter MC, Grossberg S. Computing with neural network. Science 1987;37:51-115.
19. Chua LO, Yang L. Cellular neural networks: theory. IEEE Trans Circ Syst 1988;35:1257-72.
20. Hopfield JJ. Neural networks and physical systems with emergent collective computational abilities. Proc Natl Acad Sci USA 1982;79:2554-8.
21. Li JH, Michel AN, Porod W. Qualitative analysis and synthesis of a class of neural networks. IEEE Trans Circ Syst 1988;35:976-86.
22. Joy M. On the global convergence of a class of functional differential equations with applications in neural network theory. J Math Anal Appl 1999;232:61-81.
23. Gopalsamy K. Stability and oscillations in delay differential equations of population dynamics. The Netherlands: Kluwer Academic Publishers; 1992.
24. Cao J. Global stability conditions for delay CNNs. IEEE Trans Circ Syst 2001;48:1330-3.
25. Wang L, Zou X. Exponentially stability of Cohen-Grossberg neural networks. Neural Networks 2002;15:415-22.
26. Zou F, Nossek JA. Bifurcation and chaos in cellular neural networks. IEEE Trans Circ Syst I 1993;40(3):166-73.
27. Gilli M. Strange attractors in delayed cellular neural networks. IEEE Trans Circ Syst 1993;40(11):849-53.
28. Lu HT. Chaotic attractors in delayed neural networks. Phys Lett A 2002;298:109-16.
29. Chen G, Zhou J, Liu Z. Global synchronization of coupled delayed neural networks with application to chaotic CNN models. Int J Bifurcat Chaos 2004;14:2229-40.