A Locally Active Memristor Circuit and Its Application to a Coupled Hindmarsh-Rose Neuron Network
-
摘要: 该文提出一种新型局部有源忆阻器，使用标准非线性理论分析方法分析其特性，并通过直流伏安特性曲线来证明其局部有源性。此外，将局部有源忆阻器用于模拟生物突触，构建了一个局部有源忆阻突触耦合HR神经元网络。理论分析和数值仿真表明，在局部有源忆阻突触的影响下它能够产生多种放电模式和复杂的混沌行为。最后，实现了该局部有源忆阻突触耦合神经网络的模拟等效电路，并由功率模拟(PSIM)电路仿真验证了数值仿真的正确性。Abstract: In this paper, a new locally active memristor is proposed. The characteristics and local activity of the memristor are analyzed by using standard nonlinear theory and the circuit theoretic technique direct current loci. Furthermore, the locally active memristor is used to simulate a biological synapse, then a locally active memristive synaptic coupled Hindmarsh-Rose (HR) neuron network is constructed. Theoretical analysis and numerical simulation show that the memristive neural network can generate multiple firing patterns and complex chaotic behaviors under the influence of locally active memristive synapses. Finally, the equivalent analog circuit of the memristive synaptic coupled neuron network is designed, and the correctness of numerical simulation is verified by Power SIMulation (PSIM) circuit simulations.
-
Key words:
- Locally active memristor /
- Hindmarsh-Rose (HR) neuron model /
- Firing pattern /
- Chaos /
- Analog circuit
-
[1] CHUA L. Memristor-the missing circuit element[J]. IEEE Transactions on Circuit Theory, 1971, 18(5): 507–519. doi: 10.1109/TCT.1971.1083337 [2] STRUKOV D B, SNIDER G S, STEWART D R, et al. The missing memristor found[J]. Nature, 2008, 453(7191): 80–83. doi: 10.1038/nature06932 [3] 朱航涛, 王丽丹, 段书凯, 等. 基于神经元晶体管和忆阻器的Hopfield神经网络及其在联想记忆中的应用[J]. 西南大学学报: 自然科学版, 2018, 40(2): 157–166.ZHU Hangtao, WANG Lidan, DUAN Shukai, et al. A Hopfield neural network based on neuron transistor and memristor and its application in associative memory[J]. Journal of Southwest University:Natural Science Edition, 2018, 40(2): 157–166. [4] 邵楠, 张盛兵, 邵舒渊. 具有经验学习特性的忆阻器模型分析[J]. 物理学报, 2019, 68(19): 198502. doi: 10.7498/aps.68.20190808SHAO Nan, ZHANG Shengbing, and SHAO Shuyuan. Analysis of memristor model with learning-experience behavior[J]. Acta Physica Sinica, 2019, 68(19): 198502. doi: 10.7498/aps.68.20190808 [5] 王春华, 蔺海荣, 孙晶如, 等. 基于忆阻器的混沌、存储器及神经网络电路研究进展[J]. 电子与信息学报, 2020, 42(4): 795–810. doi: 10.11999/JEIT190821WANG Chunhua, LIN Hairong, SUN Jingru, et al. Research progress on chaos, memory and neural network circuits based on memristor[J]. Journal of Electronics &Information Technology, 2020, 42(4): 795–810. doi: 10.11999/JEIT190821 [6] CHUA L O. Local activity is the origin of complexity[J]. International Journal of Bifurcation and Chaos, 2005, 15(11): 3435–3456. doi: 10.1142/S0218127405014337 [7] SAH M, KIM H, and CHUA L O. Brains are made of memristors[J]. IEEE Circuits and Systems Magazine, 2014, 14(1): 12–36. doi: 10.1109/MCAS.2013.2296414 [8] CHUA L. If it’s pinched it’s a memristor[J]. Semiconductor Science and Technology, 2014, 29(10): 104001. doi: 10.1088/0268-1242/29/10/104001 [9] KUMAR S, STRACHAN J P, and WILLIAMS R S. Chaotic dynamics in nanoscale NbO2 Mott memristors for analogue computing[J]. Nature, 2017, 548(7667): 318–321. doi: 10.1038/nature23307 [10] JIN Peipei, WANG Guangyi, IU H H C, et al. A locally active memristor and its application in a chaotic circuit[J]. IEEE Transactions on Circuits and Systems II: Express Briefs, 2018, 65(2): 246–250. doi: 10.1109/TCSII.2017.2735448 [11] CHANG Hui, WANG Zhen, LI Yuxia, et al. Dynamic analysis of a bistable bi-local active memristor and its associated oscillator system[J]. International Journal of Bifurcation and Chaos, 2018, 28(8): 1850105. doi: 10.1142/S0218127418501055 [12] WEIHER M, HERZIG M, TETZLAFF R, et al. Pattern formation with locally active S-type NbOx memristors[J]. IEEE Transactions on Circuits and Systems I: Regular Papers, 2019, 66(7): 2627–2638. doi: 10.1109/TCSI.2019.2894218 [13] LIN Hairong, WANG Chunhua, SUN Yichuang, et al. Firing multistability in a locally active memristive neuron model[J]. Nonlinear Dynamics, 2020, 100(4): 3667–3683. doi: 10.1007/s11071-020-05687-3 [14] TAN Yumei and WANG Chunhua. A simple locally active memristor and its application in HR neurons[J]. Chaos, 2020, 30(5): 053118. doi: 10.1063/1.5143071 [15] 李茹依, 王光义, 董玉姣, 等. 多频正弦混沌细胞神经网络及其复杂动力学特性[J]. 物理学报, 2020, 69(24): 84–98.LI Ruyi, WANG Guangyi, DONG Yujiao, et al. Multi-frequency sinusoidal chaotic neural network and its complex dynamics[J]. Acta Physica Sinica, 2020, 69(24): 84–98. [16] 陈墨, 陈成杰, 包伯成, 等. 忆阻突触耦合Hopfield神经网络的初值敏感动力学[J]. 电子与信息学报, 2020, 42(4): 870–877.CHEN Mo, CHEN Chengjie, BAO Bocheng, et al. Initial sensitive dynamics in memristor synapse-coupled Hopfield neural network[J]. Journal of Electronics &Information Technology, 2020, 42(4): 870–877. [17] YANG Yi and LIAO Xiaofeng. Filippov hindmarsh–rose neuronal model with threshold policy control[J]. IEEE Transactions on Neural Networks and Learning Systems, 2019, 30(1): 306–311. doi: 10.1109/TNNLS.2018.2836386 [18] 乔帅, 安新磊, 王红梅, 等. 电磁感应下HR神经元模型的分岔分析与控制[J]. 山东大学学报: 理学版, 2020, 55(9): 1–9.QIAO Shuai, AN Xinlei, WANG Hongmei, et al. Bifurcation analysis and control of HR neuron model under electromagnetic induction[J]. Journal of Shandong University:Natural Science, 2020, 55(9): 1–9. [19] 王松, 茅晓晨. 含时滞的忆阻耦合HR神经元的复杂放电行为[J]. 动力学与控制学报, 2020, 18(1): 33–39.WANG Song and MAO Xiaochen. Complex firing behaviors of a memristive HR neurons with time delays[J]. Journal of Dynamics and Control, 2020, 18(1): 33–39. [20] BAO Han, ZHANG Yunzhen, LIU Wenbo, et al. Memristor synapse-coupled memristive neuron network: Synchronization transition and occurrence of chimera[J]. Nonlinear Dynamics, 2020, 100: 937–950. doi: 10.1007/s11071-020-05529-2 [21] CHUA L. Everything you wish to know about memristors but are afraid to ask[J]. Radioengineering, 2015, 24(2): 319–368. doi: 10.13164/re.2015.0319 [22] ADHIKARI S P, SAH M P, KIM H, et al. Three fingerprints of memristor[J]. IEEE Transactions on Circuits and Systems I: Regular Papers, 2013, 60(11): 3008–3021. doi: 10.1109/TCSI.2013.2256171 [23] 张晨曦, 陈艳, 仪明东, 等. 基于忆阻器模拟的突触可塑性的研究进展[J]. 中国科学: 信息科学, 2018, 48(2): 115–142. doi: 10.1360/N112017-00022ZHANG Chenxi, CHEN Yan, YI Mingdong, et al. Recent progress in memristors for stimulating synaptic plasticity[J]. Scientia Sinica Informationis, 2018, 48(2): 115–142. doi: 10.1360/N112017-00022 [24] BAO Han, HU Aihuang, LIU Wenbo, et al. Hidden bursting firings and bifurcation mechanisms in memristive neuron model with threshold electromagnetic induction[J]. IEEE Transactions on Neural Networks and Learning Systems, 2020, 31(2): 502–511. doi: 10.1109/TNNLS.2019.2905137 -
下载:
图(14)
计量
- 文章访问数: 1636
- HTML全文浏览量: 672
- PDF下载量: 195
- 被引次数: 0
