Global dynamics of periodic delayed neural networks models

Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms

Volumn 12, Issue 5-6, 2005, Pages 689-699

  Zhou, Jin ^a,b   Liu, Zengrong ^c   Chen, Guanrong ^d  

^a FUDAN UNIVERSITY   (China)

^b HEBEI UNIVERSITY OF TECHNOLOGY   (China)

^c SHANGHAI UNIVERSITY   (China)

^d CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Dynamic attractor; Lyapunov functional; Periodic delayed recurrent neural networks; Periodic solutions; Stability; Topological degree theory

Indexed keywords

EID: 28744439312     PISSN: 14928760     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

1. J. J. Hopfield, Neurons with graded response have collective computational properties like those of two-state neurons, Proc. Nat. Academy of Sci, 81, (1984), 3088-3092.
2. L. O. Chua and L. Yang, Cellular neural networks: Theory, IEEE Trans. Circuit Syst, 35, (1988), 1257-1272.
3. S. Mohamad and K. Gopalsarny, Neuronal dynamics in time varying environments: continuous and discrete time models, Dis. Cont. Dyn. Syst, 6, (2000), 841- 860.
4. K. Gopalsamy and Sariyasa, Time Delays and stimulus- dependent pattern formation in periodic environments in isolated neurons, IEEE Trans. Neural Networks, 13, (2002), 551-563.
5. J. Cao, Periodic solution and exponential stability of delayed CNNs, Phys. Lett. A, 270, (2000), 157-163.
6. Y. Zhang, Absolute periodicity and absolute stability of delayed neural networks, IEEE Trans. Circuit Syst, 49, (2002), 256-261.
7. H. Huang, J. Cao and J. Wang, Global exponential stability and periodic solutions of recurrent neural networks with delays, Phys. Lett. A, 298, (2002), 393-404.
8. J. Zhou, Z. Liu and G. Chen, Dynamics of periodic delayed neural networks, Neural Networks, 17, (2004), 87-101.
9. R. E. Gain and J. L. Mawhin, Coincidence Degree and Nonlinear Differential Equations, Spring-Verlag, Berlin, 1977.
10. J. K. Hale, Introduction to Functional Differential Equations, Springer-Verlag, Berlin, 1977.