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具有时延的简单神经元模型的混沌行为

周尚波 廖晓峰 虞厥邦

周尚波, 廖晓峰, 虞厥邦. 具有时延的简单神经元模型的混沌行为[J]. 电子与信息学报, 2002, 24(10): 1341-1345.
引用本文: 周尚波, 廖晓峰, 虞厥邦. 具有时延的简单神经元模型的混沌行为[J]. 电子与信息学报, 2002, 24(10): 1341-1345.
Zhou Shangbo, Liao Xiaofeng, Yu Juebang. Chaotic behavior in a simplest neuron model with discrete time delay[J]. Journal of Electronics & Information Technology, 2002, 24(10): 1341-1345.
Citation: Zhou Shangbo, Liao Xiaofeng, Yu Juebang. Chaotic behavior in a simplest neuron model with discrete time delay[J]. Journal of Electronics & Information Technology, 2002, 24(10): 1341-1345.

具有时延的简单神经元模型的混沌行为

Chaotic behavior in a simplest neuron model with discrete time delay

  • 摘要: 该文研究了具有时延的简单神经元方程周期解的失稳和混沌现象,数值仿真表明:在一阶非线性时延动力学系统中找到了新的混沌发生源,文中给出了例子的波形图、相图及最大Lyapunov指数图。
  • K.L. Babcock, R. M. Westervelt, Dynamics of simple electronic neural networks, Physica D,1987, 28(3), 305 316.[2]M. Gilli, Strange attractors in delayed cellular neural networks, IEEE Trans. on CAS, 1993,40(11), 849-853.[3]Xiaofeng Liao, Zhongfu Wu, Juebang Yu, Stability switches and bifurcation analysis of a neural network with continuously delay, IEEE Trans. on SMC-A., 1999, 29(6), 692-698.[4]K. Murali, M. Lakshmanon, L. O. Chua, The simplest dissipative nonautonomous chaotic circuit,IEEE Trans. on CAS-I, 1994, 41(6), 462-463.[5]K. Gopalsmay, K. C. Leung, Convergence under dynamical thresholds with delays, IEEE Trans.on Neural Networks, 1994, 8(4), 341-348.[6]Xiaofeng Liao, Zhongfu Wu, Juebang Yu, Hopf bifurcation analysis of a neural system with a continuously distributed delay, International Symposium on Signal Processing and Intelligent System, Guangzhou, China, Nov. 1999, 546-549.[7]周尚波,廖晓峰,虞厥帮,具有任意激活函数的时延神经元方程的Hopf分岔,电子与信息学报,2002,24(9),1209-1217[8]Liao Xiaofeng, Wong Kwokwo, Wu Zhongfu, Bifurcation analysis in a two-neuron system with distributed delays, Physica D, 2001, 179(1/2), 123-141.
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出版历程
  • 收稿日期:  2001-03-02
  • 修回日期:  2001-11-08
  • 刊出日期:  2002-10-19

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