A SWITCH FROM STABILITY TO OSCILLATION BACK TO STABILITY FOR NEURAL NETWORK WITH DISTRIBUTED DELAY

Liao Xiaoteng; Wu Zhongfu; Wang Kang; Yu Juebang

Volume 23 Issue 7

Jul. 2001

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Article Navigation > Journal of Electronics & Information Technology > 2001 > 23(7): 687-692

Liao Xiaoteng, Wu Zhongfu, Wang Kang, Yu Juebang. A SWITCH FROM STABILITY TO OSCILLATION BACK TO STABILITY FOR NEURAL NETWORK WITH DISTRIBUTED DELAY[J]. Journal of Electronics & Information Technology, 2001, 23(7): 687-692.

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Liao Xiaoteng, Wu Zhongfu, Wang Kang, Yu Juebang. A SWITCH FROM STABILITY TO OSCILLATION BACK TO STABILITY FOR NEURAL NETWORK WITH DISTRIBUTED DELAY[J]. Journal of Electronics & Information Technology, 2001, 23(7): 687-692.

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A SWITCH FROM STABILITY TO OSCILLATION BACK TO STABILITY FOR NEURAL NETWORK WITH DISTRIBUTED DELAY

Received Date: 1998-10-26
Rev Recd Date: 2000-05-22
Publish Date: 2001-07-19

Abstract

Abstract

In this paper, a neural network with strong kernel and continuously time delay is mainly investigated. A switch from stability to instability may occur for certain range of the parameters arid must then be followed by a switch back to stability. Bifurcation phenomena of this model are also investigated. Using the mean time delays as a bifurcation parameter, authors have proven that Hopf bifurcation parameter passes through a critical value. Some computer simulations illustrate correctness of the results.

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References(1)

References

B. Baldi, A. F. Atiya, How delays affect neural dynamical thresholds with delays, IEEE Trans.on Neural Networks, 1994, 5(4), 612-621.[2]K. Gopalsmay, Issic K. C. Leung, Convergence under dynamical thresholds with delays, IEEETrans. on Neural Networks, 1994, 8(2), 341-348.[3]K. Gopalsmay, X. Z. He, Stability in asymmetric Hopfield net with transmission delays, PhysicaD, 1994, 76(5), 344-358.[4]C.M. Marcus, R. M. Westervelt, Stability of analog neural networks with delay, Phys. Rev. A 1994, 39(7), 347 359.[5]Xiaofeng Liao, Juebang Yu, Qualitative analysis of bi-directional associative memory with time delay, International Journal of Circuit Theory and Application, 1998, 26(7), 219 229.[6]Xiaofeng Liao, Juebang Yu, Robust interval stability analysis for Hopfield with time delay, IEEE Trans. on Neural Networks, 1998, 9(5), 1042-1046.[7]Xiaofeng Liao, et al, Hopf bifurcation and stability of periodic solutions of a neural network with a continuously distributed delay, International Symposium 9n Signal Processing and Intelligence system, 1999, 214-218.[8]Xiaofeng Liao, Kwok-wo Wong, Zhongfu Wu, Bifurcation analysis in a two-neuron system with distributed delays, Physica D, 2001, 179(1-2), 125-141.

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