一类简化的n个神经元时滞BAM神经网络模型的振动性

Abstract

Abstract:

In this paper, the existence of oscillations for a simplified n-neuron BAM neural network with time delays between neural interconnections is investigated. By using the Chafee's criterion, we prove that a simplified n-neuron BAM neural network has a unique equilibrium point which is unstable. This particular type of instability, combined with the boundedness of the solutions of the system, forces the network to generate a permanent oscillation. Two sufficient conditions for these oscillations are obtained. Typical simulation examples are presented.

Key words: n-neuron BAM neural network, Delay, Equilibrium point, Instability, Oscillation

CLC Number:

FENG Chun-Hua. Oscillatory Behavior for a Simplified n-neuron BAM Neural Networks Model with Time Delays[J].Acta mathematica scientia,Series A, 2011, 31(6): 1490-1501.

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Oscillatory Behavior for a Simplified n-neuron BAM Neural Networks Model with Time Delays

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