New discrete analogue of neural networks with nonlinear amplification function and its periodic dynamic analysis

Discrete and Continuous Dynamical Systems- Series A

Volumn , Issue SUPPL., 2007, Pages 391-398

  Fu, Xilin ^a   Chen, Zhang ^b  

^a SHANDONG NORMAL UNIVERSITY   (China)

^b SHANDONG UNIVERSITY   (China)

Author keywords

Coincidence degree; Discrete neural networks; Global exponential stability; Periodic solution; Time delay

Indexed keywords

EID: 84878038019     PISSN: 10780947     EISSN: 15535231     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

1. M. Cohen and S. Grossberg, Absolute stability and global patten formation and parallel memory storage by competitive neural networks, IEEE Transactions on Syst., Man and Cyber., 13 (1983), 815-826.
2. A. Michel and K. Wang, Qualitative analysis of Cohen-Grossberg neural networks with multiple delays, Phys. Rev. E., 51 (1995), 2611-2618.
3. L. Wang and X. F. Zou, Exponential stability of Cohen-Grossberg neural networks, Neural Networks, 15 (2002), 415-422.
4. T. P. Chen and L. B. Rong, Delay-independent stability analysis of Cohen-Grossberg neural networks, Phys. Lett. A., 317 (2003), 436-449.
5. Z. Chen and J. Ruan, Global stability analysis of impulsive Cohen-Grossberg neural networks with delay, Phys. Lett. A., 345 (2005), 101-111.
6. S. Mohamad and K. Gopalsamy, Dynamics of a class of discrete-time neural networks and their continuous-time counterparts, Mathematics and Computers in Simulation, 53 (2000), 1-39.
7. S. Mohamad and A. G. Naim, Discrete-time analogues of integrodifferential equations modelling bidirectional neural networks, Journal of Computational and Applied Mathematics, 138(1) (2002), 1-20.
8. S. Mohamad and K. Gopalsamy, Exponential stability of continuous-time and discrete-time cellular neural networks with delays, Applied Mathematics and Computation, 135(1) (2003), 17-38.
9. Y. K. Li, Global stability and existence of periodic solutions of discrete delayed cellular neural networks, Phys. Lett. A., 333 (2004), 51-61.
10. Y. Li, Existence and exponential stability of periodic solution for continuous-time and discrete-time generalized bidirectional neural networks, Electr. J. Differ. Equ., 2006(32) (2006), 1-21.
11. H. Akca, R. Alassar, V. Covachev and Z. Covacheva, Discrete counterparts of continuous-time additive Hopfield-type neural networks with impulses, Dynamic Syst. Appl., 13 (2004), 77-92.
12. C. Sun and C. B. Feng, Exponential periodicity of continuous-time and discrete-time neural networks with delays, Neural Proc. Lett., 19 (2004), 131-146.
13. C. Sun and C. B. Feng, Discrete-time analogues of integrodifferential equations modeling neural networks, Phys. Lett. A., 334 (2005), 180-191.
14. J. Liang, J. Cao and D. W. C. Ho, Discrete-time bidirectional associative memory neural networks with variable delays, Phys. Lett. A., 335 (2005), 226-234.
15. Z. Huang, X. Wang and F. Gao, The existence and global attractivity of almost periodic sequence solution of discrete-time neural networks, Phys. Lett. A., 350 (2006), 182-191.
16. R. E. Gaines and J. L. Mawhin, "Coincidence degree and nonlinear differential equations," Springer-Verlag, Berlin, 1977.