Lev V. Takaishvili , Vladimir I. Ponomarenko , Ilya V. Sysoev
{"title":"Simple tunable generator of neuron-like activity","authors":"Lev V. Takaishvili , Vladimir I. Ponomarenko , Ilya V. Sysoev","doi":"10.1016/j.chaos.2025.116316","DOIUrl":null,"url":null,"abstract":"<div><div>This study aims to develop a new electronic realization of a neuron. We based our work on a previously constructed circuit and modified it to reduce the number of elements. All modeling was done using ngSPICE circuit simulator. For the new developed circuit current–voltage characteristics were constructed, then dependence of signal amplitude on resistance of potentiometer was measured. In this way, we found that oscillations arose as a result of Andronov–Hopf bifurcation like in the FitzHugh–Nagumo neuron. Various implementations of nonlinearity were considered and the dependence of the shape of the generated signal on the asymmetry of the nonlinear element was investigated. It is shown that with increasing asymmetry this signal becomes more similar to nonlinear spikes, and with decreasing asymmetry it approaches the signal of a strongly nonlinear van der Pol oscillator. The oscillation frequency is mainly determined by the resonant frequency of the circuit and weakly depends on asymmetry: the period slightly decreases with increasing asymmetry. As a result, we developed a new simplified electronic neuron of FitzHugh–Nagumo type simple for hardware realization and modification.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"196 ","pages":"Article 116316"},"PeriodicalIF":5.3000,"publicationDate":"2025-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Chaos Solitons & Fractals","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0960077925003297","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 0
Abstract
This study aims to develop a new electronic realization of a neuron. We based our work on a previously constructed circuit and modified it to reduce the number of elements. All modeling was done using ngSPICE circuit simulator. For the new developed circuit current–voltage characteristics were constructed, then dependence of signal amplitude on resistance of potentiometer was measured. In this way, we found that oscillations arose as a result of Andronov–Hopf bifurcation like in the FitzHugh–Nagumo neuron. Various implementations of nonlinearity were considered and the dependence of the shape of the generated signal on the asymmetry of the nonlinear element was investigated. It is shown that with increasing asymmetry this signal becomes more similar to nonlinear spikes, and with decreasing asymmetry it approaches the signal of a strongly nonlinear van der Pol oscillator. The oscillation frequency is mainly determined by the resonant frequency of the circuit and weakly depends on asymmetry: the period slightly decreases with increasing asymmetry. As a result, we developed a new simplified electronic neuron of FitzHugh–Nagumo type simple for hardware realization and modification.
期刊介绍:
Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.