Dynamic stability conditions for Lotka-Volterra recurrent neural networks with delays

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 66, Issue 1, 2002, Pages

  Yi, Zhang ^a   Tan, K K ^b  

^a UNIVERSITY OF ELECTRONIC SCIENCE AND TECHNOLOGY OF CHINA   (China)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CAPACITANCE; DECISION MAKING; DELAY CONTROL SYSTEMS; DIFFERENTIAL EQUATIONS; FUNCTION EVALUATION; INDUCTANCE; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; SET THEORY;

DYNAMIC STABILITY; LOTKA-VOLTERRA RECURRENT NEURAL NETWORKS; NEURAL COMPUTATIONS; NONDIVERGENCE;

NEURAL NETWORKS;

EID: 33646974391     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.011910     Document Type: Article

References (24)

1. T. Fukai and S. Tanaka, Neural Comput. 9, 77 (1997).
2. T. Asai, T. Fukai, and S. Tanaka, Neural Networks 12, 211 (1999).
3. T. Asai, M. Ohtani, and H. Yonezu, IEEE Trans. Neural Netw. 10, 1222 (1999).
4. J.J. Hopfield, Proc. Natl. Acad. Sci. USA 81, 3088 (1984).
5. P. Baldi and A.F. Atiya, IEEE Trans. Neural Netw. 5, 612 (2000).
6. C.M. Marcus and R.M. Westervelt, Phys. Rev. A 39, 347 (1989).
7. P.L. Venetianer and T. Roska, IEEE Trans. Circuits Syst., I: Fundam. Theory Appl. 45, 205 (1998).
8. S. Arik, IEEE Trans. Circuits Syst., I: Fundam. Theory Appl. 47, 1089 (2000).
9. P.V.D. Driessche and X. Zou, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 58, 1878 (1998).
10. M. Gilli, IEEE Trans. Circuits Syst., I: Fundam. Theory Appl. 41, 518 (1994).
11. K. Gopalsamy and X.Z. He, Physica D 76, 344 (1994).
12. M. Joy, Neural Networks 13, 613 (2000).
13. H. Lu, Neural Networks 13, 1135 (2000).
14. H. Lu, Phys. Rev. E 64, 051901 (2001).
15. K. Pakdaman, C.G. Ragazzo, and C.P. Malta, Phys. Rev. E 58, 3623 (1998).
16. T. Roska, C.W. Wu, M. Balsi, and L.O. Chua, IEEE Trans. Circuits Syst., I: Fundam. Theory Appl. 39, 487 (1992).
17. N. Takahashi, IEEE Trans. Circuits Syst., I: Fundam. Theory Appl. 47, 793 (2000).
18. H. Ye, A.N. Michel, and K. Wang, Phys. Rev. E 50, 4206 (1994).
19. Z. Yi, P.A. Heng, and K.S. Leung, IEEE Trans. Circuits Syst., I: Fundam. Theory Appl. 48, 680 (2001).
20. Z. Yi, P.A. Heng, and P. Vadakkepat, IEEE Trans. Circuits Syst., I: Fundam. Theory Appl. 49, 256 (2002).
21. R.L.T. Hahnloser, Neural Networks 11, 691 (1998).
22. H. Wersing, W.J. Beyn, and H. Ritter, Neural Comput. 13, 1811 (2001).
23. Z. Yi, P.A. Heng, and A.W.C. Fu, Neural Networks 10, 1487 (1999).
24. C.W. Wu and L.O. Chua, IEEE Trans. Circuits Syst., I: Fundam. Theory Appl. 44, 370 (1997).