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Article Navigation >  Journal of University of Electronic Science and Technology of China  > 2002  >  31(2): 163-167

Li Shaorong, Liao Xiaofeng. Study of Bifurcation Phenomenon for Neural Network with Continuously Time Delay[J]. Journal of University of Electronic Science and Technology of China, 2002, 31(2): 163-167.
Citation: Li Shaorong, Liao Xiaofeng. Study of Bifurcation Phenomenon for Neural Network with Continuously Time Delay[J]. Journal of University of Electronic Science and Technology of China, 2002, 31(2): 163-167.
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Study of Bifurcation Phenomenon for Neural Network with Continuously Time Delay

  • 1.

    College of Opto-electronic Information.,UEST of China Chengdu 610054

  • Received Date: 2001-12-03
  • Publish Date: 2002-04-15
  • In this paper, we study the Hopf bifurcation phenomena of a neural network with a continuous time delay. Using the average time delay as bifurcation parameter, we have proved that the model undergoes a sequence of Hopf bifurcations in both the strong kernel and weak kernel cases. Stability criteria for the bifurcating periodic solutions are derived in the neural network with weak kernel. Some numerical examples and the computer simulation results are also presented to justify the theoretical results.
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    沈阳化工大学材料科学与工程学院 沈阳 110142

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Study of Bifurcation Phenomenon for Neural Network with Continuously Time Delay

  • 1. College of Opto-electronic Information.,UEST of China Chengdu 610054
  • Received Date: 2001-12-03
  • Publish Date: 2002-04-15

Abstract: In this paper, we study the Hopf bifurcation phenomena of a neural network with a continuous time delay. Using the average time delay as bifurcation parameter, we have proved that the model undergoes a sequence of Hopf bifurcations in both the strong kernel and weak kernel cases. Stability criteria for the bifurcating periodic solutions are derived in the neural network with weak kernel. Some numerical examples and the computer simulation results are also presented to justify the theoretical results.

Li Shaorong, Liao Xiaofeng. Study of Bifurcation Phenomenon for Neural Network with Continuously Time Delay[J]. Journal of University of Electronic Science and Technology of China, 2002, 31(2): 163-167.
Citation: Li Shaorong, Liao Xiaofeng. Study of Bifurcation Phenomenon for Neural Network with Continuously Time Delay[J]. Journal of University of Electronic Science and Technology of China, 2002, 31(2): 163-167.
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