Existence and exponential stability of periodic solution of BAM neural networks with impulse and time-varying delay

Chaos, Solitons and Fractals

Volumn 33, Issue 3, 2007, Pages 1028-1039

  Wang, Hui ^a,b   Liao, Xiaofeng ^a   Li, Chuandong ^a  

^a CHONGQING UNIVERSITY   (China)

^b LESHAN NORMAL UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; CHAOS THEORY; NUMERICAL ANALYSIS; TIME DELAY;

BAM NEURAL NETWORK; GLOBAL PERIODICITY;

NEURAL NETWORKS;

EID: 33847382781     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2006.01.112     Document Type: Article

References (28)

1. Kosko B. Neural networks and fuzzy systems-a dynamical system approach machine intelligence (1992), Prentice-Hall, Englewood Cliffs, NJ p. 38-108
2. Kosko B. Bi-directional associative memories. IEEE Trans Syst Man Cybernet 18 1 (1988) 49-60
3. Kosko B. Adaptive bi-directional associative memories. Appl Opt 26 23 (1987) 4947-4960
4. Gopalsmy K., and He X.Z. Delay-independent stability in bidirectional associative memory networks. IEEE Trans Neural Networks 5 (1994) 998-1002
5. Arik S., and Tavsanoglu V. Global asymptotic stability analysis of bidirectional associative memory neural networks with constant time delays. Neurocomputing 68 (2000) 161-176
6. Cao J. Global asymptotics stability of delayed bi-directional associative memory neural networks. Appl Math Comput 142 (2003) 333-339
7. Cao J., and Dong M. Exponential stability of delayed bi-directional associative memory networks. Appl Math Comput 135 (2003) 105-112
8. Cao J., and Wang L. Exponential stability and periodic oscillatory solution in BAM networks with delays. IEEE Trans Neural Networks 13 (2002) 457-463
9. Chen A., Cao J., and Huang L. Exponential stability of BAM neural networks with transmission delays. Neurocomputing 57 (2004) 435-454
10. Chen A., Huang L., and Cao J. Existence and stability of almost periodic solution for BAM neural networks with delays. Appl Math Comput 137 (2003) 177-193
11. Liao X.F., Yu J.B., and Chen G. Novel stability criteria for bidirectional associative memory neural networks with time delays. Int J Circ Theory Appl 30 (2002) 519-546
12. Liao X.F., and Wong K.W. Global exponential stability of hybrid bidirectional associative memory neural networks with discrete delays. Phys Rev E 67 (2003) 042901
13. Liao X.F., and Yu J.B. Qualitative analysis of bi-directional associative memory with time delay. Int J Circ Theor Appl 26 (1998) 219-229
14. Li Y.K. Global exponential stability of BAM neural networks with delays and impulses. Chaos, Solitons & Fractals 24 (2005) 279-285
15. Guo S.J., Huang L.H., Dai B.X., and Zhang Z.Z. Global existence of periodic solutions of BAM neural networks with variable coefficients. Phys Lett A 317 (2003) 97-106
16. Zhao H. Global stability of bidirectional associative memory neural networks with distributed delays. Phys Lett A 297 (2002) 182-190
17. Liu Z., Chen A., Cao J., and Huang L. Existence and global exponential stability of almost periodic solutions of BAM neural networks with continuously distributed delays. Phys Lett A 319 (2003) 305-316
18. Liu Z., Chen A., Cao J., and Huang L. Existence and global exponential stability of periodic solution for BAM neural networks with periodic coefficients and time-varying delays. IEEE Trans Circ Syst I 50 (2003) 1162-1173
19. Liao X.F., Wong K.W., and Yang S.Z. Convergence dynamics of hybrid bidirectional associative memory neural networks with distributed delays. Phys Lett A 316 (2003) 55-64
20. Li Y.K., and Liu P. Existence and stability of positive periodic solution for BAM neural networks with delays. Math Comput Model 40 (2004) 757-770
21. Zhou T.J., Chen A., and Zhou Y.Y. Existence and global exponential stability of periodic solution to BAM neural networks with periodic coefficients and continuously distributed delays. Phys Lett A 343 (2005) 336-350
22. Song Q.K., and Cao J. Global exponential stability and existence of periodic solutions in BAM networks with delays and reaction-diffusion terms. Chaos, Solitons & Fractals 23 (2005) 421-430
23. Han M., and Bi P. Existence and bifurcation of periodic solutions of high-dimensional delay differential equations. Chaos, Solitons & Fractals 20 (2004) 1027-1036
24. Jin Z., Ma Z., and Han M. The existence of periodic solutions of the n-species Lotka-Volterra competition systems with impulsive. Chaos, Solitons & Fractals 22 (2004) 181-188
25. Li Y.K. Existence and stability of periodic solutions for Cohen-Grossberg neural networks with multiple delays. Chaos, Solitons & Fractals 20 (2004) 459-466
26. Cao J. New results concerning exponential stability and periodic solutions of delayed cellular neural networks. Phys Lett A 307 2-3 (2003) 136-147
27. Liu X., and Ballinger G. Uniform asymptotic stability of impulsive delay differential equations. Comput Math Appl 41 (2001) 903-915
28. Gains R.E., and Mawhin J.L. Coincidence degree and nonlinear differential equation (1977), Springer-Verlag, Berlin