A hidden grid multi-scroll chaotic system coined with two multi-stable memristors

IF 5.6 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals Pub Date : 2024-06-07 DOI:10.1016/j.chaos.2024.115109

Lingshuang Zhang , Zhijun Li , Yuexi Peng

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引用次数: 0

Abstract

Multi-scroll chaotic systems have been extensively used in various fields such as secure communication and image encryption due to their unique performances. In this paper, a five-dimensional grid multi-scroll chaotic system is established by introducing two multi-stable memristors into the Sprott A system. The resultant system has no equilibrium point and thus the generated multi-scroll attractors are hidden. The addition of the two multi-stable memristors can expand the original single scroll hidden attractor into a grid multi-scroll attractor. The generation mechanism of multi-scroll hidden attractors is discussed and it is found that the number of scrolls is determined by that of the stable equilibrium points of the two memristors. Thus, the number of scrolls in the multi-scroll hidden attractors can be easily controlled by adjusting the internal parameters of the multi-stable memristors. More importantly, the constructed memristive grid multi-scroll Sprott A system (MGSAS) exhibits initial-based offset enhancement in different directions and multi-scroll amplitude control behavior. Additionally, the coexistence of multiple multi-scroll hidden attractors is also observed and the number of the coexisting attractors is also dependent on that of the stable equilibrium points of the two multi-stable memristors. These interesting dynamic phenomena are examined in depth using nonlinear analysis tools. Finally, the feasibility of MGSAS is verified through Multisim circuit simulation.

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使用两个多稳定忆阻器的隐藏网格多卷混沌系统

多卷混沌系统因其独特的性能而被广泛应用于安全通信和图像加密等多个领域。本文通过在 Sprott A 系统中引入两个多稳态忆阻器，建立了一个五维网格多卷混沌系统。由此产生的系统没有平衡点，因此生成的多辊吸引子是隐藏的。两个多稳态忆阻器的加入可以将原来的单卷轴隐藏吸引子扩展为网格多卷轴吸引子。讨论了多卷轴隐藏吸引子的生成机制，发现卷轴的数量由两个忆阻器的稳定平衡点决定。因此，通过调整多稳定忆阻器的内部参数，可以很容易地控制多卷轴隐性吸引子的卷轴数量。更重要的是，所构建的忆阻栅多卷轴斯普罗特A系统（MGSAS）在不同方向上表现出基于初始偏移的增强和多卷轴振幅控制行为。此外，还观察到多个多卷隐藏吸引子共存的现象，共存吸引子的数量还取决于两个多稳定忆阻器的稳定平衡点。我们利用非线性分析工具深入研究了这些有趣的动态现象。最后，通过 Multisim 电路仿真验证了 MGSAS 的可行性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Chaos Solitons & Fractals 物理-数学跨学科应用

CiteScore

13.20

自引率

10.30%

发文量

1087

审稿时长

9 months

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.