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Threshold control of chaotic neural network
Authors:Guoguang He   Manish Dev Shrimali  Kazuyuki Aihara  
Affiliation:

aAihara Complexity Modelling Project, ERATO, JST, Tokyo 153–8505, Japan

bDepartment of Physics, College of Science, Zhejiang University, Hangzhou 310027, China

cInstitute of Industrial Science, The University of Tokyo, Tokyo 153–8505, Japan

Abstract:The chaotic neural network constructed with chaotic neurons exhibits rich dynamic behaviour with a nonperiodic associative memory. In the chaotic neural network, however, it is difficult to distinguish the stored patterns in the output patterns because of the chaotic state of the network. In order to apply the nonperiodic associative memory into information search, pattern recognition etc. it is necessary to control chaos in the chaotic neural network. We have studied the chaotic neural network with threshold activated coupling, which provides a controlled network with associative memory dynamics. The network converges to one of its stored patterns or/and reverse patterns which has the smallest Hamming distance from the initial state of the network. The range of the threshold applied to control the neurons in the network depends on the noise level in the initial pattern and decreases with the increase of noise. The chaos control in the chaotic neural network by threshold activated coupling at varying time interval provides controlled output patterns with different temporal periods which depend upon the control parameters.
Keywords:Chaotic neural networks   Threshold coupling   Controlling chaos   Associative memory   Information processing
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