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Volume 24 Issue 10
Oct.  2002
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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.

Chaotic behavior in a simplest neuron model with discrete time delay

  • Received Date: 2001-03-02
  • Rev Recd Date: 2001-11-08
  • Publish Date: 2002-10-19
  • In this paper, stability losing of periodic solution and chaotic phenomenon in a simplest neuron equation with time delay are studied, The numerical simulations show that a new chaotic source is found in a first order nonlinear dynamical system. Some waveform diagrams, phase portraits, power spectra and plots of largest Lyapunov exponent are also given.
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  • 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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