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一类简化的n个神经元时滞BAM神经网络模型的振动性 被引量：2

Oscillatory Behavior for a Simplified n-neuron BAM Neural Networks Model with Time Delays
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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.
作者 冯春华
机构地区 广西师范大学数学科学学院
出处 《数学物理学报（A辑）》 CSCD 北大核心 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
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. n-neuron BAM neural network Delay Equilibrium point Instability Oscillation.
分类号 O175 [理学—基础数学]
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参考文献24

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二级参考文献28

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共引文献14

同被引文献16

  • 1ZHANG Hua-guang,WANG Zhan-shan,LIU De-rong. Robust stability analysis for interval Cohen-Grossberg neural networks with unknown time-varying delays [J]. IEEE Trans Neural Networks, 2008,19 (11): 1942-1955.
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  • 10Hanyong Shao. Less conservative delay-dependent stability criteria for neural networks with time-varying delays[J]. Neurocomputing, 2010, 73(7-9) : 1528-1532.

引证文献2

数学物理学报（A辑）
2011年 第6期

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