物理学报2026，Vol.75Issue(1)：172-183,12.DOI:10.7498/aps.75.20251114
无电容器嵌入的忆阻神经元电路的动力学与能耗分析
Analysis of dynamics and energy consumption in capacitor-free memristive neural circuit
摘要
Abstract
To address the issues of high dynamic power consumption and substantial occupation of silicon integration resources in traditional capacitor-containing neuronal circuits,this study proposes a capacitor-free neuronal circuit based on a charge-controlled memristor.By taking the intrinsic parameters of the charge-controlled memristor as the reference for scaling transformation,dimensionless dynamical equations are derived.The local asymptotic stability of the system is verified using Jacobian matrix eigenvalue decomposition and the Routh-Hurwitz criterion.Gaussian white noise is introduced to simulate the interference for detecting coherent resonance,while energy characteristics are analyzed by combining Hamiltonian energy formulas and resistance energy consumption expressions.Additionally,the fourth-order Runge-Kutta method is adopted to conduct numerical simulations. The research results indicate that external stimulus,ionic channel conductance,and reversal potential can flexibly regulate the periodic/chaotic firing modes of the neuron.In the periodic state,the proportion of electric field energy of the charge-controlled memristor in the total energy is higher;in the chaotic state,however,the proportion of magnetic field energy of the inductive coils increases.The circuit exhibits coherent resonance under the influence of noise,and resistor is the main energy-consuming component.The conclusion proves that the circuit is feasible in principle,with rich dynamical characteristics and good noise robustness.Adjusting the resistance value can enhance energy efficiency while preserving multiple firing modes,thereby providing theoretical support and optimization direction for designing high-integration,low-power neuromorphic computing circuits.关键词
忆阻神经元电路/稳定性分析/相干共振/能耗控制Key words
memristive neural circuits/stability analysis/coherent resonance/energy consumption control引用本文复制引用
郭群,徐莹..无电容器嵌入的忆阻神经元电路的动力学与能耗分析[J].物理学报,2026,75(1):172-183,12.基金项目
山东省重点研发计划资助(批准号:2025CXPT087)和国家自然科学基金(批准号:12402061)资助的课题. Project supported by the Key R&D Program of Shandong Province,China(Grant No.2025CXPT087)and the National Natural Science Foundation of China(Grant No.12402061). （批准号:2025CXPT087）
