Almost periodic attractor of delayed neural networks with variable coefficients

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 340, Issue 1-4, 2005, Pages 104-120

  Cao, Jinde ^a   Chen, Anping ^b   Huang, Xia ^a  

^a SOUTHEAST UNIVERSITY   (China)

^b XIANGNAN UNIVERSITY   (China)

Author keywords

Almost periodic attractor; Exponential dichotomy; Halanay inequality; Lyapunov function; Neural networks; Time varying delay; Variable coefficients

Indexed keywords

LYAPUNOV FUNCTIONS; LYAPUNOV METHODS;

ALMOST PERIODIC; EXPONENTIAL DICHOTOMY; HALANAY INEQUALITY; TIME VARYING- DELAYS; VARIABLE COEFFICIENTS;

NEURAL NETWORKS;

ARTICLE; ARTIFICIAL NEURAL NETWORK; FEASIBILITY STUDY; LITERATURE; MATHEMATICAL COMPUTING; OSCILLATION; TECHNIQUE;

EID: 19444364927     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2005.04.021     Document Type: Article

References (33)

1. S. Arik, and V. Tavsanoglu IEEE Trans. Circuits Systems-I 47 4 2000 571
2. A. Bouzerdoum, and T.R. Pattison IEEE Trans. Neural Networks 4 1993 293
3. H. Bersini Neural Networks 11 1998 1017
4. J. Belair, S.A. Campbell, and V.D. Driessche SIAM J. Appl. Math. 56 1996 245
5. P. Baldi, and A.F. Atiya IEEE Trans. Neural Networks 5 1994 612
6. Y.J. Cao, and Q.H. Wu IEEE Trans. Neural Networks 7 1996 1533
7. J. Cao Int. J. Syst. Sci. 32 2001 233
8. J. Cao, J. Liang, and J. Lam Physica D 199 3-4 2004 425
9. J. Cao, and D. Zhou Neural Networks 11 1998 1601
10. J. Cao Sci. China, Ser. E 43 3 2000 328
11. J. Cao Phys. Lett. A 270 2000 157
12. J. Cao Phys. Lett. A 325 5-6 2004 370
13. J. Cao, and J. Liang J. Math. Anal. Appl. 296 2 2004 665
14. J. Cao Phys. Lett. A 267 2000 312
15. J. Cao IEEE Trans. Circuits Systems-I 48 4 2001 494
16. A. Destexhe Phys. Lett. A 187 1994 309
17. V.D. Driessche, and X.F. Zou SIAM J. Appl. Math. 58 1998 1878
18. A.M. Fink Almost Periodic Differential Equation 1974 Springer-Verlag Berlin
19. M. Forti J. Differential Equations 113 1994 246
20. K. Gopalsamy, and X. He Physica D 76 1994 344
21. J.J. Hopfield Proc. Natl. Acad. Sci. USA 81 1984 3088
22. J.H. Li, A.N. Michel, and W. Porod IEEE Trans. Circuits Systems I 35 1988 976
23. X.F. Liao, K.W. Wong, Z.G. Wu, and G.R. Chen IEEE Trans. Circuits Systems-I 48 2001 1355
24. H.T. Lu Neural Networks 13 2000 1135
25. F. Pasemann Physica D 128 1999 236
26. S. Abe IEEE Trans. Circuits Systems-I 40 1993 246
27. A.J. Storkey, and R. Valabregue Neural Networks 12 1999 869
28. C. He Almost Periodic Differential Equations 1992 Higher Education Publishing House Beijing
29. J. Cao, and L. Wang IEEE Trans. Neural Networks 13 2 2002 457
30. J. Cao IEEE Trans. Circuits Systems-I 48 11 2001 1330
31. J. Cao, and J. Wang IEEE Trans. Circuits Systems-I 50 1 2003 34
32. J. Cao Phys. Lett. A 307 2003 136
33. J. Cao, and J. Wang Neural Networks 17 3 2004 379