Dynamical Analysis and Fixed-Time Synchronization for Secure Communication of Hidden Multiscroll Memristive Chaotic System

IF 5.2 1区工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC

IEEE Transactions on Circuits and Systems I: Regular Papers Pub Date : 2024-08-05 DOI:10.1109/TCSI.2024.3434551

Qiang Lai;Yijin Liu;Luigi Fortuna

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引用次数: 0

Abstract

In view of the superiority of memristors in strengthening dynamical complexity and the significant application potiential of multiscroll chaos, this paper attempts to introduce two memristors with scalable memductances into simple seed chaotic system for designing multiscroll memristive chaotic system (MMCS). The designed MMCS yields hidden grid multiscroll chaotic attractors with any number of scrolls expanding along with the internal variables of memristors. By varying the parameters, the multiscroll attractors can be broken into coexisting attractors with different numbers and scrolls dependent on parameters, and their oscillation amplitudes can be increased (or decreased) without changing the chaotic features. Dynamical analysis and circuit implementation are given to reveal the complexity and feasibility of the MMCS. The fixed-time synchronization (FxTS) is studied by using adaptive controller and the sufficient condition for FxTS is established via Lyapunov stability theory (LST). A multilevel secure communication scheme based on the FxTS of MMCS is designed and the experimental tests on the image, audio and data secure communication verify its effectiveness, which to some extent shows the application availability of MMCS.

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隐藏式多卷膜混沌系统安全通信的动态分析与固定时间同步化

鉴于忆阻器在增强动态复杂性方面的优越性以及多卷混沌的巨大应用潜力，本文尝试在简单的种子混沌系统中引入两个具有可扩展忆阻器的忆阻器，以设计多卷忆阻器混沌系统（MMCS）。所设计的多卷忆阻器混沌系统能产生隐藏网格多卷忆阻器混沌吸引子，其任意数量的卷轴会随着忆阻器内部变量的变化而扩展。通过改变参数，多卷吸引子可以根据参数分解成不同数量和卷轴的共存吸引子，并且可以在不改变混沌特征的情况下增加（或减少）它们的振荡幅度。本文通过动力学分析和电路实现揭示了 MMCS 的复杂性和可行性。利用自适应控制器研究了固定时间同步（FxTS），并通过李亚普诺夫稳定性理论（LST）建立了固定时间同步的充分条件。设计了基于 MMCS FxTS 的多级安全通信方案，并通过图像、音频和数据安全通信实验验证了其有效性，这在一定程度上说明了 MMCS 的应用可行性。

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

IEEE Transactions on Circuits and Systems I: Regular Papers 工程技术-工程：电子与电气

CiteScore

9.80

自引率

11.80%

发文量

441

审稿时长

2 months

期刊介绍： TCAS I publishes regular papers in the field specified by the theory, analysis, design, and practical implementations of circuits, and the application of circuit techniques to systems and to signal processing. Included is the whole spectrum from basic scientific theory to industrial applications. The field of interest covered includes: - Circuits: Analog, Digital and Mixed Signal Circuits and Systems - Nonlinear Circuits and Systems, Integrated Sensors, MEMS and Systems on Chip, Nanoscale Circuits and Systems, Optoelectronic - Circuits and Systems, Power Electronics and Systems - Software for Analog-and-Logic Circuits and Systems - Control aspects of Circuits and Systems.