| 忆阻突触耦合环形Hopfield神经网络动力学分析及其电路实现 |
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| 引用本文： | 罗佳,孙亮,乔印虎. 忆阻突触耦合环形Hopfield神经网络动力学分析及其电路实现[J]. 计算物理, 2022, 39(1): 109-117. DOI: 10.19596/j.cnki.1001-246x.8338 |
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| 作者姓名： | 罗佳 孙亮 乔印虎 |
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| 作者单位： | 1. 池州职业技术学院 机电与汽车系, 安徽 池州 2470002. 安徽科技学院 机械工程学院, 安徽 凤阳 233100 |
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| 基金项目： | 安徽省自然科学研究重点项目(KJ2017A728,KJ2019A1138)；;安徽省教学研究一般项目(2016jyxm0714)资助； |
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| 摘 要： | 提出一种新型忆阻器模型, 利用标准非线性理论分析三个忆阻特性, 并设计模拟电路。基于忆阻突触, 构建一个忆阻突触耦合环形Hopfield神经网络模型。采用分岔图、李雅普诺夫指数谱、时序图等方法, 揭示与忆阻突触密切相关的特殊动力学行为。数值仿真表明: 在忆阻突触权重的影响下, 它能够产生多种对称簇发放电模式和复杂的混沌行为。实现了该忆阻环形神经网络的模拟等效电路, 并由PSIM电路仿真验证MATLAB数值仿真的正确性。
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| 关 键 词： | 忆阻器 Hopfield神经网络 簇发放电 共存吸引子 模拟电路 |
| 收稿时间： | 2021-02-02 |
Dynamical Analysis and Circuit Implementation of a Memristor Synapse-coupled Ring Hopfield Neural Network |
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| LUO Jia,SUN Liang,QIAO Yinhu. Dynamical Analysis and Circuit Implementation of a Memristor Synapse-coupled Ring Hopfield Neural Network[J]. Chinese Journal of Computational Physics, 2022, 39(1): 109-117. DOI: 10.19596/j.cnki.1001-246x.8338 |
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| Authors: | LUO Jia SUN Liang QIAO Yinhu |
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| Affiliation: | 1. Department of Mechatronics and Automobile, Chizhou Vocational and Technical College, Chizhou, Anhui 247000, China2. College of Mechanical Engineering, Anhui Science and Technology University, Fengyang, Anhui 233100, China |
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| Abstract: | A new memristor model is proposed and three memristive characteristics are analyzed with standard nonlinear theory.Analog circuit of the memristor is designed.Then, a memristor synapse-coupled ring Hopfield neural network is constructed based on the memristor synapse.Special dynamical behaviors closely related to the memristor synapse are revealed by adopting bifurcation diagrams, Lyapunov exponents, time series, etc.It shows that the memristive neural network generates multiple symmetrical bursting firing patterns and complex chaotic behavior at different memristive synaptic weight.Finally, an equivalent analog circuit of the memristive neural network is designed, and correctness of MATLAB numerical simulation is verified with PSIM circuit simulations. |
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| Keywords: | memristor Hopfield neural network bursting firing coexisting attractors analog circuit |
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