Meiyuan Gu, Yan Liang, Yiqing Li, Jinbiao Liu, Guangyi Wang
{"title":"Complex coexisting attractors in a locally-active memristor-based oscillator","authors":"Meiyuan Gu, Yan Liang, Yiqing Li, Jinbiao Liu, Guangyi Wang","doi":"10.1007/s12043-023-02719-6","DOIUrl":null,"url":null,"abstract":"<div><p>This paper aims to propose a material-independent novel locally-active memristor (LAM) model, which is applied to the fourth-order autonomous chaotic oscillation circuit to investigate the phenomena and mechanisms of chaos and hyperchaos. Under different parameter configurations, the LAM-based system can exhibit rich dynamic behaviours and multistability, such as multi-equilibrium points, period, chaos and hyperchaos attractors. The phase diagram, bifurcation diagram, Lyapunov exponential spectrum, basins of attraction and dynamics map are used to analyse the complex dynamics of the system. In addition, we find many types of coexisting attractors, including periodic attractors with multiple different periods, hyperchaotic attractors with multiple different scrolls, a double-scroll chaotic attractor with a shock wave orbit and so on. This work fills the gap by theoretical analysis and numerical simulation. And proves that the local activity and non-volatility of memristors are two important reasons for the generation of complex and coexisting attractors.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":null,"pages":null},"PeriodicalIF":1.9000,"publicationDate":"2024-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Pramana","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1007/s12043-023-02719-6","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
This paper aims to propose a material-independent novel locally-active memristor (LAM) model, which is applied to the fourth-order autonomous chaotic oscillation circuit to investigate the phenomena and mechanisms of chaos and hyperchaos. Under different parameter configurations, the LAM-based system can exhibit rich dynamic behaviours and multistability, such as multi-equilibrium points, period, chaos and hyperchaos attractors. The phase diagram, bifurcation diagram, Lyapunov exponential spectrum, basins of attraction and dynamics map are used to analyse the complex dynamics of the system. In addition, we find many types of coexisting attractors, including periodic attractors with multiple different periods, hyperchaotic attractors with multiple different scrolls, a double-scroll chaotic attractor with a shock wave orbit and so on. This work fills the gap by theoretical analysis and numerical simulation. And proves that the local activity and non-volatility of memristors are two important reasons for the generation of complex and coexisting attractors.
期刊介绍:
Pramana - Journal of Physics is a monthly research journal in English published by the Indian Academy of Sciences in collaboration with Indian National Science Academy and Indian Physics Association. The journal publishes refereed papers covering current research in Physics, both original contributions - research papers, brief reports or rapid communications - and invited reviews. Pramana also publishes special issues devoted to advances in specific areas of Physics and proceedings of select high quality conferences.