New estimate on the domains of attraction of equilibrium points in continuous Hopfield neural networks

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

Volumn 351, Issue 3, 2006, Pages 161-166

  Yang, Xiaofan ^a   Liao, Xiaofeng ^a   Li, Chuandong ^a   Evans, David J ^b  

^a CHONGQING UNIVERSITY   (China)

^b LOUGHBOROUGH UNIVERSITY   (United Kingdom)

Author keywords

Convergence rate; Domain of attraction; Equilibrium point; Hopfield neural network; Local exponential stability

Indexed keywords

ASSOCIATIVE PROCESSING; CHEMICAL ACTIVATION;

CONTINUOUS HOPFIELD NEURAL NETWORKS; CONVERGENCE RATES; DOMAIN OF ATTRACTION; DOMAINS OF ATTRACTION; EQUILIBRIUM POINT; HOPFIELD ASSOCIATIVE MEMORY NETWORKS; LOCAL EXPONENTIAL STABILITY; QUALITATIVE PROPERTIES;

HOPFIELD NEURAL NETWORKS;

EID: 32144445292     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2005.10.091     Document Type: Article

References (52)

1. J.J. Hopfield Proc. Natl. Acad. Sci. 79 1982 2554
2. J.J. Hopfield Proc. Natl. Acad. Sci. 81 1984 3088
3. J.J. Hopfield, and D.W. Tank Science 233 1986 625
4. D.W. Tank, and J.J. Hopfield IEEE Trans. Circuits Systems 32 1986 533
5. S. Abe, and A.H. Gee IEEE Trans. Circuits Systems II 42 1 1995 39
6. A. Bhaya, E. Kaszkurewicz, and V.S. Kozyakin IEEE Trans. Neural Networks 7 3 1996 620
7. I.V. Boikov Automat. Remote Control 9 2003 124
8. J.D. Cao, and J. Wang IEEE Trans. Circuits Systems I 50 1 2003 34
9. A.P. Chen, J.D. Cao, and L.H. Huang IEEE Trans. Circuits Systems I 49 7 2002 1028
10. T.P. Chen Neural Networks 14 2001 977
11. T.P. Chen, and S.I. Amari IEEE Trans. Neural Networks 12 1 2001 159
12. T.G. Chu Phys. Lett. A 283 2001 113
13. P.V.D. Driessche, J.H. Wu, and X.F. Zou Physica D 150 2001 84
14. K. Gopalsamy, and X.Z. He Physica D 76 1994 344
15. Z.H. Guan, and G.R. Chen Neural Networks 12 1999 273
16. Z.H. Guan, G.R. Chen, and Y. Qin IEEE Trans. Neural Networks 11 2 2000 534
17. M.T. Hanna IEEE Trans. Signal Processing 48 1 2000 289
18. C.C. Hwang, C.G. Chen, and T.L. Liao Phys. Lett. A 319 2003 157
19. M. Joy J. Math. Anal. Appl. 232 1999 161
20. J.C. Juang IEEE Trans. Neural Networks 10 6 1999 1366
21. J.H. Li, A.N. Michel, and W. Porod IEEE Trans. Circuits Systems 35 8 1988 976
22. X.F. Liao, J. Wang, and J.D. Cao Int. J. Neural Systems 13 3 2003 171
23. X.X. Liao Sci. China A 38 4 1995 407
24. X.X. Liao Mathematical Theory of Stability and Applications 2001 Central China Normal University Press (in Chinese)
25. X.W. Liu, and T.P. Chen IEEE Trans. Circuits Systems 49 10 2002 1514
26. H.T. Lu Neural Networks 13 2000 1135
27. H.T. Lu, F.L. Chung, and Z.Y. He Neural Networks 17 2004 537
28. S. Mohamad Acta Appl. Math. 76 2003 117
29. C.Y. Sun, K.J. Zhang, S.M. Fei, and C.B. Feng Phys. Lett. A 298 2002 122
30. C.Y. Sun, and C.B. Feng Neural Processing Lett. 17 2003 107
31. L. Wang J. Math. Anal. Appl. 292 2004 135
32. L. Wang Appl. Math. Comput. 160 2005 93
33. D.Y. Xu, H.Y. Zhao, and H. Zhu Comput. Math. Appl. 42 2001 39
34. Z.B. Xu, and C.P. Kwong J. Math. Anal. Appl. 191 1995 405
35. H. Yang, and T.S. Dillon IEEE Trans. Neural Networks 5 5 1994 719
36. Z. Yi Int. J. Systems Sci. 27 2 1996 227
37. Z. Yi, P.A. Heng, and A.W.C. Fu IEEE Trans. Neural Networks 10 6 1999 1487
38. J.Y. Zhang Appl. Math. Lett. 16 2003 925
39. J.Y. Zhang, and X.S. Jin Neural Networks 13 2000 745
40. Q. Zhang, X.P. Wei, and J. Xu Phys. Lett. A 315 2003 431
41. Q. Zhang, X.P. Wei, and J. Xu Phys. Lett. A 318 2003 399
42. H.Y. Zhao Neural Networks 17 1 2004 47
43. A.N. Michel, J.A. Farrell, and W. Porod IEEE Trans. Circuits Systems 36 2 1989 229
44. J.D. Cao J. Electron. 21 1999 332 (in Chinese)
45. J.D. Cao Phys. Lett. A 325 2004 370
46. J.D. Cao, and Q. Tao J. Comput. System Sci. 60 2000 179
47. J.D. Cao, and Q. Tao J. Comput. System Sci. 62 2001 528
48. X.B. Liang, and L.D. Wu Acta Electron. Sinica 24 1996 40 (in Chinese)
49. X.B. Liang, and L.D. Wu J. Electron. 18 1996 1 (in Chinese)
50. A.N. Michel, J.A. Farrell, and H.F. Sun IEEE Trans. Circuits Systems 37 11 1990 1356
51. H.Y. Zhao, and G.L. Wang Phys. Lett. A 343 2005 372
52. H.Y. Zhao Phys. Lett. A 336 2005 331