STUDY OF BIFURCATION PHENOMENON FOR A NEURAL NETWORK WITH TIME DELAY

Hopfield J J. Neurons with graded response have collective computational properties like those of two state neurons[J].Proceeding of Natural Academy Science of USA.1984, 81(10):3088-3092[2]Chua L O, Roska T. The CNN paradigm. IEEE Trans. on Circuits and Systems, 1993, CAS-40(3):147-156.[3]Baldi P, Atiya A F. How delays affect neural dynamics and learning. IEEE Trans. on Neural Networks, 1994, NN-5(4): 612-621.[4]Civalleri P P, Gilli M, Pandolfi L. On stability of cellular neural networks with delay. IEEE Trans.on Circuits and Systems, 1993, CAS-40(3): 157-165.[5]Liao X F, Yu J B. Qualitative analysis of bi-directional associative memory with time delay[J].International Journal of Circuit Theory and Applications.1998, 26(2):219-2293.0.CO;2-I' target='_blank'>[6]Liao X, Liu G Y, Yu J B. Stability analysis of BAM with time delay. Journal of Electronics(China), 1997,14(4): 345-351.[7]Liao X F.[J].Yu J B. Stability analysis of Bi-directional associative memory with axonal signal transmission delays. ICSP96, Beijing, China.1457,1996:-[8]Zhang Y. Global exponential stability and periodic solutions of delay Hopfield neural networks[J].International Journal of Systems Science.1996, 27(2):227-231[9]Zhang Y, Zhong S M, Li Z L. Periodic solutions and stability of Hopfield neural networks with variable delays[J].International Journal of Systems Science.1996, 27(9):895-901[10]Gopalsamy K, Leung I K C. Convergence under dynamical thresholds with delays. IEEE Trans.on Neural Networks., 1997, NN-8(2): 341-348.[11]Zou F, Nossek J A. Bifurcation and chaos in cellular neural networks. IEEE Trans. on Circuits and Systems, 1993, CAS-40(3): 166-173.[12]Hassard B D, Kazarinoff N D, Wan Y H. Theory and Applications of Hopf Bifurcation. Cambridge: Cambridge Univ. Press, 1981.