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带分布时延神经网络:从稳定到振荡再到稳定的动力学现象

廖晓峰 吴中福 王康 虞厥邦

廖晓峰, 吴中福, 王康, 虞厥邦. 带分布时延神经网络:从稳定到振荡再到稳定的动力学现象[J]. 电子与信息学报, 2001, 23(7): 687-692.
引用本文: 廖晓峰, 吴中福, 王康, 虞厥邦. 带分布时延神经网络:从稳定到振荡再到稳定的动力学现象[J]. 电子与信息学报, 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.
Citation: 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.

带分布时延神经网络:从稳定到振荡再到稳定的动力学现象

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

  • 摘要: 该文主要研究一个带连续分布时延且具有强核的神经网络。作者发现当平均时延参数增加时,系统的状态从稳定变化到振荡现象;当平均时延参数继续增加时,又从振荡变为稳定。这一特殊的动力学现象对于具有弱核的神经网络是不可能发生的,用平均时延作分岔参数,作者也证明了Hopf分岔的存在性。用计算机仿真实验表明所得的结论的正确性。
  • 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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出版历程
  • 收稿日期:  1998-10-26
  • 修回日期:  2000-05-22
  • 刊出日期:  2001-07-19

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