Stability and Hopf bifurcation analysis on a four-neuron BAM neural network with time delays

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

Volumn 351, Issue 1-2, 2006, Pages 64-78

  Yu, Wenwu ^a   Cao, Jinde ^a  

^a SOUTHEAST UNIVERSITY   (China)

Author keywords

BAM neural network; Hopf bifurcation; Periodic solutions; Stability; Time delay

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; NEURAL NETWORKS; TIME DELAY;

BAM NEURAL NETWORK; BIFURCATING PERIODIC SOLUTIONS; CENTER MANIFOLD THEOREM; CHARACTERISTIC EQUATION; CRITICAL VALUE; HOPF BIFURCATION ANALYSIS; NORMAL FORM METHODS; PERIODIC SOLUTION;

HOPF BIFURCATION;

EID: 31744442908     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2005.10.056     Document Type: Article

References (24)

1. S. Ruan, and J. Wei Dynam. Contin. Discrete Impuls. Systems, Ser. A Math. Anal. 10 2003 863
2. W. Yu, and J. Cao Nonlinear Anal. 62 2005 141
3. S. Guo, and L. Huang Int. J. Bifur. Chaos 14 8 2004 2790
4. S. Ruan, and J. Wei IMA J. Math. Appl. Med. Biol. 18 2001 41
5. Y. Song, M. Han, and J. Wei Physica D 200 2005 185
6. Y. Song, and J. Wei J. Math. Anal. Appl. 301 2005 1
7. X. Liao, K. Wong, and Z. Wu Nonlinear Dynam. 26 2001 23
8. X. Liao, K. Wong, and Z. Wu Physica D 149 2001 123
9. B.D. Hassard, N.D. Kazarinoff, and Y.H. Wan Theory and Application of Hopf Bifurcation 1981 Cambridge Univ. Press Cambridge
10. D. Reddy, A. Sen, and G. Johnston Physica D 144 2000 335
11. J. Cao, and J. Wang Neural Networks 17 3 2004 379
12. J. Cao, and J. Liang J. Math. Anal. Appl. 296 2 2004 665
13. J. Cao, D.-S. Huang, and Y. Qu Chaos Solitons Fractals 23 1 2005 221
14. J. Cao, and T. Chen Chaos Solitons Fractals 22 4 2004 957
15. J.J. Hopfield Proc. Natl. Acad. Sci. USA 81 1984 3088
16. C.M. Marcus, and R.M. Westervelt Phys. Rev. A 39 1989 347
17. K.L. Babcock, and R.M. Westervelt Physica D 28 1987 305
18. P. Baldi, and A. Atiya IEEE Trans. Neural Networks 5 1994 610
19. B. Kosko IEEE Trans. Systems Man Cybernet. 18 1988 49
20. K. Gopalsamy, and X. He IEEE Trans. Neural Networks 5 1994 998
21. B. Kosko IEEE Trans. Neural Networks 1 1990 44
22. J. Cao Phys. Rev. E 59 1999 5940
23. J. Cao Phys. Rev. E 59 2000 1825
24. S. Mohamad Physica D 159 2001 233