A 4D Entangled Memristor Hyperchaotic System and Its New Predefined-Time Sliding Mode Synchronization Control

IF 3.4 3区计算机科学 Q2 COMPUTER SCIENCE, INFORMATION SYSTEMS IEEE Access Pub Date : 2024-10-02 DOI:10.1109/ACCESS.2024.3472123

Shixiang Zhu;Qingke Lu;Yuming Feng;Dongfang Yan

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Abstract

In this paper, a four-dimensional cosine entangled hyperchaotic system with memristor is presented. Through dynamical behavior analysis, including bifurcation diagrams and Lyapunov exponent spectra, we delve deeply into the characteristics of this system’s dynamics. The exploration uncovers the system’s rich dynamic behavior. Subsequently, we design a model circuit for this system to verify its feasibility for implementation. The comparison between experimental results and numerical simulations demonstrates a high level of consistency. Further, a new Lyapunov function is proposed, which satisfies the predetermined time stability condition. On this basis, we design a predetermined time sliding mode controller for synchronizing two chaotic systems. With this controller, the state of the error system can be stabilized within the specified time range. Simulation results show that the proposed control method has excellent anti-interference performance and fast convergence speed. In terms of communication security, the method is able to recover valuable information quickly and accurately, further confirming its excellent performance.

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四维纠缠 Memristor 超混沌系统及其新型预定义时间滑动模式同步控制

本文介绍了一个带有忆阻器的四维余弦纠缠超混沌系统。通过动力学行为分析，包括分岔图和 Lyapunov 指数谱，我们深入研究了该系统的动力学特征。这一探索揭示了系统丰富的动态行为。随后，我们为该系统设计了一个模型电路，以验证其实施的可行性。实验结果与数值模拟之间的比较显示了高度的一致性。此外，我们还提出了一个新的 Lyapunov 函数，它满足预定的时间稳定性条件。在此基础上，我们设计了一种预定时间滑模控制器，用于同步两个混沌系统。有了这个控制器，误差系统的状态就能在规定的时间范围内稳定下来。仿真结果表明，所提出的控制方法具有优异的抗干扰性能和快速的收敛速度。在通信安全方面，该方法能够快速准确地恢复有价值的信息，进一步证实了其卓越的性能。

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 Access COMPUTER SCIENCE, INFORMATION SYSTEMSENGIN-ENGINEERING, ELECTRICAL & ELECTRONIC

CiteScore

9.80

自引率

7.70%

发文量

6673

审稿时长

6 weeks

期刊介绍： IEEE Access® is a multidisciplinary, open access (OA), applications-oriented, all-electronic archival journal that continuously presents the results of original research or development across all of IEEE''s fields of interest. IEEE Access will publish articles that are of high interest to readers, original, technically correct, and clearly presented. Supported by author publication charges (APC), its hallmarks are a rapid peer review and publication process with open access to all readers. Unlike IEEE''s traditional Transactions or Journals, reviews are "binary", in that reviewers will either Accept or Reject an article in the form it is submitted in order to achieve rapid turnaround. Especially encouraged are submissions on: Multidisciplinary topics, or applications-oriented articles and negative results that do not fit within the scope of IEEE''s traditional journals. Practical articles discussing new experiments or measurement techniques, interesting solutions to engineering. Development of new or improved fabrication or manufacturing techniques. Reviews or survey articles of new or evolving fields oriented to assist others in understanding the new area.