{"title":"Excitability and synchronization of vanadium dioxide memristor-inspired neurons","authors":"Yan Shao , Fuqiang Wu , Qingyun Wang","doi":"10.1016/j.matcom.2025.01.022","DOIUrl":null,"url":null,"abstract":"<div><div>Neuromorphic devices play a significant role in exploiting the dynamical analogy between various physical circuits and neuronal systems. Mott memristive systems made from vanadium dioxide (VO<sub>2</sub>) are candidates for neuromorphic computations because of their ability to better reproduce neuron-like functions/behaviors and operate at low transition energy. In this paper, we revisit a prior work on the VO<sub>2</sub> memristor-inspired neuron to not only identify the exact biophysical mechanisms of this system’s features, but also reproduce the more extensive neuron-like dynamical behaviors as two types of excitability and spiking by combining one-parameter bifurcations with two-parameter panels. Based on the Lyapunov stability theorem, a novel criterion for exponential synchronization is acquired in coupled VO<sub>2</sub> memristor-inspired neurons by introducing two controllers. Meanwhile, it is demonstrated via numerical simulations and hardware circuits. Results provide the intersection of electronic physics and theoretical neuroscience from the nonlinear dynamics point of view.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"233 ","pages":"Pages 99-116"},"PeriodicalIF":4.4000,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics and Computers in Simulation","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0378475425000308","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 0
Abstract
Neuromorphic devices play a significant role in exploiting the dynamical analogy between various physical circuits and neuronal systems. Mott memristive systems made from vanadium dioxide (VO2) are candidates for neuromorphic computations because of their ability to better reproduce neuron-like functions/behaviors and operate at low transition energy. In this paper, we revisit a prior work on the VO2 memristor-inspired neuron to not only identify the exact biophysical mechanisms of this system’s features, but also reproduce the more extensive neuron-like dynamical behaviors as two types of excitability and spiking by combining one-parameter bifurcations with two-parameter panels. Based on the Lyapunov stability theorem, a novel criterion for exponential synchronization is acquired in coupled VO2 memristor-inspired neurons by introducing two controllers. Meanwhile, it is demonstrated via numerical simulations and hardware circuits. Results provide the intersection of electronic physics and theoretical neuroscience from the nonlinear dynamics point of view.
期刊介绍:
The aim of the journal is to provide an international forum for the dissemination of up-to-date information in the fields of the mathematics and computers, in particular (but not exclusively) as they apply to the dynamics of systems, their simulation and scientific computation in general. Published material ranges from short, concise research papers to more general tutorial articles.
Mathematics and Computers in Simulation, published monthly, is the official organ of IMACS, the International Association for Mathematics and Computers in Simulation (Formerly AICA). This Association, founded in 1955 and legally incorporated in 1956 is a member of FIACC (the Five International Associations Coordinating Committee), together with IFIP, IFAV, IFORS and IMEKO.
Topics covered by the journal include mathematical tools in:
•The foundations of systems modelling
•Numerical analysis and the development of algorithms for simulation
They also include considerations about computer hardware for simulation and about special software and compilers.
The journal also publishes articles concerned with specific applications of modelling and simulation in science and engineering, with relevant applied mathematics, the general philosophy of systems simulation, and their impact on disciplinary and interdisciplinary research.
The journal includes a Book Review section -- and a "News on IMACS" section that contains a Calendar of future Conferences/Events and other information about the Association.