Dynamics of periodic delayed neural networks

作者: Jin Zhou , Zengrong Liu , Guanrong Chen

DOI: 10.1016/S0893-6080(03)00208-9

关键词:

摘要: This paper formulates and studies a model of periodic delayed neural networks. can well describe many practical architectures networks, which is generalization some additive networks such as Hopfied cellular under time-varying environment, particularly when the network parameters input stimuli are varied periodically with time. Without assuming smoothness, monotonicity boundedness activation functions, two functional issues on neuronal dynamics this i.e. existence global exponential stability its solutions, investigated. Some explicit conclusive results established, natural extension corresponding existing in literature. Furthermore, examples simulations presented to illustrate nature new results.

参考文章(38)
Jean L. Mawhin, Robert E. Gaines, Coincidence degree and nonlinear differential equations ,(1977)
Stephen Grossberg, Pattern Learning by Functional-Differential Neural Networks with Arbitrary Path Weights Functional differential equations. pp. 157- 193 ,(1982) , 10.1007/978-94-009-7758-7_4
Klaus Schmitt, Ceramics Division, Delay and functional differential equations and their applications Academic Press. ,(1972)
Jack K. Hale, Sjoerd M. Verduyn Lunel, Introduction to Functional Differential Equations ,(1993)
CHENG-HSIUNG HSU, Smale horseshoe of cellular neural networks International Journal of Bifurcation and Chaos. ,vol. 10, pp. 2119- 2127 ,(2000) , 10.1142/S0218127400001341
S Mohamad, K Gopalsamy, None, Neuronal dynamics in time varying enviroments: Continuous and discrete time models Discrete and Continuous Dynamical Systems. ,vol. 6, pp. 841- 860 ,(2000) , 10.3934/DCDS.2000.6.841
Jinde Cao, On exponential stability and periodic solutions of CNNs with delays Physics Letters A. ,vol. 267, pp. 312- 318 ,(2000) , 10.1016/S0375-9601(00)00136-5
Jinde Cao, Periodic oscillation and exponential stability of delayed CNNs Physics Letters A. ,vol. 270, pp. 157- 163 ,(2000) , 10.1016/S0375-9601(00)00300-5
C. M. Marcus, R. M. Westervelt, Stability of analog neural networks with delay Physical Review A. ,vol. 39, pp. 347- 359 ,(1989) , 10.1103/PHYSREVA.39.347
Yong Yao, Walter J. Freeman, Brian Burke, Qing Yang, Pattern recognition by a distributed neural network: an industrial application Neural Networks. ,vol. 4, pp. 103- 121 ,(1991) , 10.1016/0893-6080(91)90036-5