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本文引用格式:乔磊,茅晓晨.时滞诱发的忆阻型Hopfield神经网络的复杂动力学[J].动力学与控制学报,2019,17(4):384~390;   Qiao Lei,Mao Xiaochen.Delay-induced complicated dynamics of a memristive Hopfield neural network[J].Journal of Dynamics and Control,2019,17(4):384-390.
时滞诱发的忆阻型Hopfield神经网络的复杂动力学    点此下载全文
乔磊  茅晓晨
河海大学 力学与材料学院, 南京 211100,河海大学 力学与材料学院, 南京 211100
基金项目:国家自然科学基金资助项目(11472097和11872169),河海大学中央高校基本科研业务费专项资金项目(2018B17514)
DOI:10.6052/1672-6553-2019-036
摘要:
      本文研究含时滞的忆阻型环状Hopfield神经网络的稳定性、Hopf分岔以及复杂振荡模式.根据特征方程根分布情况,获得了系统全时滞稳定条件和与时滞相关的稳定条件.通过数值计算揭示了丰富的动力学现象,如多种周期运动和混沌吸引子等,并给出了Poincaré截面上的分岔图.设计了电路实验平台,取得了与理论分析和数值计算高度吻合的实验结果.
关键词:Hopfield神经网络,时滞,忆阻器,复杂动力学,电路实验
Delay-induced complicated dynamics of a memristive Hopfield neural network    Download Fulltext
Qiao Lei  Mao Xiaochen
Fund Project:
Abstract:
      This paper reveals the stability, Hopf bifurcation and complex oscillations of a bidirectional memristive ring coupled Hopfield neural network with a time delay. The delay independent and delay dependent conditions for the stability of the trivial equilibrium of the system are given. Various dynamical phenomena are explored, such as different periodic orbits and chaotic attractors. The bifurcation diagram as the function of the time delay is given by using Poincaré section techniques. A circuit experiment is designed and the experimental results reach a good agreement with theoretical analysis and numerical simulations.
Keywords:Hopfield neural networks,time delay,memristor,complicated dynamics,circuit experiment
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