忆阻耦合异构忆阻细胞神经网络的多稳态与相位同步研究

武花干; 边逸轩; 陈墨; 徐权

doi:10.11999/JEIT240010

忆阻耦合异构忆阻细胞神经网络的多稳态与相位同步研究

doi: 10.11999/JEIT240010

常州大学微电子与控制工程学院常州 213164

基金项目: 国家自然科学基金(62371073, 12172066, 52277001)，江苏省研究生创新项目(KYCX23_3181)

详细信息

作者简介:
武花干：女，副教授，研究方向为细胞神经网络、神经元功能性电路

边逸轩：男，硕士生，研究方向为非线性电路与系统

陈墨：女，教授，研究方向为非线性电路与系统、同步控制

徐权：男，副教授，研究方向为忆阻神经网络、神经元功能性电路

通讯作者:
徐权　xuquan@cczu.edu.cn

中图分类号: TN713+.4
计量
- 文章访问数: 15
- HTML全文浏览量: 8
- PDF下载量: 0
- 被引次数: 0
出版历程
- 收稿日期: 2024-01-16
- 修回日期: 2024-04-03
- 网络出版日期: 2024-04-23

Multistable State and Phase Synchronization of Memristor-coupled Heterogeneous Memristive Cellular Neural Network

School of Microelectronics and Control Engineering, Changzhou University, Changzhou 213164, China

Funds: The National Natural Science Foundation of China (62371073, 12172066, 52277001), The Postgraduate Education Reform Projects of Jiangsu Province (KYCX23_3181)

摘要

摘要: 忆阻具有天然的可塑性，可实现与生物神经元和突触所具有的相似或相同机制的硅基神经元和纳米突触。将忆阻用作突触耦合两个异构的忆阻细胞神经网络，该文构建了一个忆阻耦合异构忆阻细胞神经网络。该耦合网络含有一个与忆阻突触初值条件和子网初值条件相关的空间平衡点集，可呈现出复杂的动力学演化。利用数值仿真方法，揭示了耦合网络依赖于初值条件而存在的稳定点、周期、混沌、超混沌以及无界振荡等多稳态行为。此外，在忆阻突触的调控下，两个异构子网可达成相位同步。最后，基于STM32单片机硬件平台完成了电路实验验证。
- 忆阻 /
- 细胞神经网络 /
- 异构网络 /
- 多稳态 /
- 相位同步
Abstract: Memristors have a natural plasticity that enables silicon-based neurons and nano-synapses with similar or the same mechanisms as biological neurons and synapses. Using a memristor as a synapse to couple two heterogeneous memristive cellular neural networks, a memristor-coupled heterogeneous cellular neural network is constructed in this paper. The coupled network contains a space equilibrium set related to the initial value conditions of memristor synapse and subnets, which can exhibit complex dynamic evolution. The multi-stable behaviors of the coupling network, such as stable point, period, chaos, hyperchaos and unbounded oscillation, which depend on the initial value conditions, are revealed by numerical simulation method. In addition, under the control of memristor synapse, two heterogeneous subnets can achieve phase synchronization. Finally, the experimental verification of the circuit is completed based on STM32 MCU hardware platform.
- Memristor /
- Cellular neural network /
- Heterogeneous network /
- Multi-stable state /
- Phase synchronization

HTML全文

图 1 忆阻耦合异构细胞神经网络结构示意图

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图 2 δ₁-δ₂平面以及δ₁-δ₃平面的平衡点稳定性分布

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图 3 耦合系统式(4)的双参数动力学演化

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图 4 关于参数$\varphi_0 $变化的分岔图与LE谱

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图 5 耦合系统式(4)的多稳态现象

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图 6 耦合系统式(4)的双参数动力学演化

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图 7 关于子网初值变化的分岔图与LE谱

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图 8 耦合系统(4)的典型吸引子

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图 9 不同子网初值条件下，两个子网相位差|$\Delta $θ(t)|随时间的演化图

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图 10 硬件实验捕获的相位轨迹及其对应的时域波形

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