一类简化的n个神经元时滞BAM神经网络模型的振动性  

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

作　　者：冯春华[1] 

机构地区：[1]广西师范大学数学科学学院,广西桂林541004

出　　处：《数学物理学报（A辑）》2011年第6期1490-1501,共12页Acta Mathematica Scientia

基　　金：国家自然科学基金(10961005)资助

摘　　要：该文研究一类简化的n个神经元时滞BAM神经网络模型的振动性.利用Chafee的结论,可以证明一类简化的n个神经元时滞BAM神经网络有唯一平衡点且不稳定.这种特殊类型的不稳定性,结合系统所有解的有界性会迫使网络产生永久振动.得出此种振动行为产生的两个充分条件,典型的数值仿真证明了理论结论的正确性.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.

关 键 词：n个神经元BAM神经网络 时滞 平衡点 不稳定性 振动性. 

分 类 号：O175[理学—数学]