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A New Set of Sufficient Conditions Based on Coupling Parameters for Synchronization of Hopfield like Chaotic Neural Networks

Nariman Mahdavi and Mohammad Bagher Menhaj
International Journal of Control, Automation, and Systems, vol. 9, no. 1, pp.104-111, 2011

Abstract : In this paper, we consider a Hopfield like Chaotic Neural Networks which have both self-coupling and non-invertible activation functions. We show that the interactions between neurons can be used as a means of chaos generation or suppression to neuron’s outputs when more adaptability or stability is required. Furthermore, a new set of sufficient conditions based on coupling weights is proposed so that the synchronization of all neuron’s outputs with each other is guaranteed, when all neuron’s have identical activation functions. Finally, the effectiveness of the proposed approach is evaluated by performing simulations on three illustrative examples.

Keyword : Chaos synchronization, chaotic neural network, logistic map, stabilization.

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