Complex coexisting attractors in a locally-active memristor-based oscillator

IF 1.9 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pramana Pub Date : 2024-04-29 DOI:10.1007/s12043-023-02719-6
Meiyuan Gu, Yan Liang, Yiqing Li, Jinbiao Liu, Guangyi Wang
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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.

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基于局部活性忆阻器的振荡器中的复杂共存吸引子
本文旨在提出一种与材料无关的新型局部有源忆阻器(LAM)模型,并将其应用于四阶自主混沌振荡电路,以研究混沌和超混沌的现象和机制。在不同的参数配置下,基于 LAM 的系统可以表现出丰富的动态行为和多稳定性,如多平衡点、周期、混沌和超混沌吸引子。相图、分岔图、Lyapunov 指数谱、吸引盆地和动力学图被用来分析系统的复杂动力学。此外,我们还发现了多种类型的共存吸引子,包括具有多个不同周期的周期吸引子、具有多个不同卷轴的超混沌吸引子、具有冲击波轨道的双卷轴混沌吸引子等。这项工作通过理论分析和数值模拟填补了这一空白。并证明了忆阻器的局部活性和非波动性是产生复杂共存吸引子的两个重要原因。
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Pramana
Pramana 物理-物理:综合
CiteScore
3.60
自引率
7.10%
发文量
206
审稿时长
3 months
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.
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