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A SWITCH FROM STABILITY TO OSCILLATION BACK TO STABILITY FOR NEURAL NETWORK WITH DISTRIBUTED DELAY |
Liao Xiaoteng①; Wu Zhongfu①; Wang Kang①; Yu Juebang② |
①Institute of Computer Chongqing University Chongqing 400044 China;②Department of Optoelectronic Technology UESTC Chengdu 610054 China |
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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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Received: 26 October 1998
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