Dynamics and circuit implementation of a novel coupled discrete memristive system

IF 2.5 3区工程技术 Q3 COMPUTER SCIENCE, HARDWARE & ARCHITECTURE

Integration-The Vlsi Journal Pub Date : 2025-08-06 DOI:10.1016/j.vlsi.2025.102504

Kotadai Zourmba , Beining Fu , Kehui Sun

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引用次数: 0

Abstract

This paper presents the design and analysis of a 3D memristor-based discrete chaotic system, combining theoretical exploration with practical implementation. The proposed system is derived from a sine discrete memristor model and exhibits rich hyperchaotic dynamics, as demonstrated through stability analysis, bifurcation diagrams, Lyapunov exponents, and complexity measures (spectral entropy

S E

and

C_{0}

complexity). Numerical simulations reveal broad chaotic regions and extreme sensitivity to parameter variations, including hyperchaos with multiple positive Lyapunov exponents. A digital and analog realization is achieved via a PSim-simulated circuit employing sample-and-hold modules, operational amplifiers, and nonlinear components, with results closely matching numerical predictions. Furthermore, the system is leveraged to construct a pseudo-random number generator (PRNG), which successfully passes all NIST SP800-22 randomness tests, validating its potential for secure communication and encryption applications. The study bridges theoretical chaos analysis with tangible electronic implementation, offering insights into memristive discrete systems for high-performance chaos-based technologies.

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一种新型耦合离散记忆系统的动力学与电路实现

本文提出了一种基于三维忆阻器的离散混沌系统的设计与分析，将理论探索与实际实现相结合。通过稳定性分析、分岔图、李雅普诺夫指数和复杂性度量（谱熵SE和C0复杂度），该系统显示出丰富的超混沌动力学。数值模拟显示了广泛的混沌区域和对参数变化的极端敏感性，包括具有多个正李雅普诺夫指数的超混沌。通过采用采样保持模块、运算放大器和非线性元件的psim模拟电路实现了数字和模拟实现，结果与数值预测密切匹配。此外，利用该系统构建了一个伪随机数生成器（PRNG），该生成器成功通过了所有NIST SP800-22随机性测试，验证了其在安全通信和加密应用中的潜力。该研究将理论混沌分析与有形电子实现相结合，为高性能基于混沌的技术提供记忆离散系统的见解。

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来源期刊

Integration-The Vlsi Journal 工程技术-工程：电子与电气

CiteScore

3.80

自引率

5.30%

发文量

107

审稿时长

6 months

期刊介绍： Integration''s aim is to cover every aspect of the VLSI area, with an emphasis on cross-fertilization between various fields of science, and the design, verification, test and applications of integrated circuits and systems, as well as closely related topics in process and device technologies. Individual issues will feature peer-reviewed tutorials and articles as well as reviews of recent publications. The intended coverage of the journal can be assessed by examining the following (non-exclusive) list of topics: Specification methods and languages; Analog/Digital Integrated Circuits and Systems; VLSI architectures; Algorithms, methods and tools for modeling, simulation, synthesis and verification of integrated circuits and systems of any complexity; Embedded systems; High-level synthesis for VLSI systems; Logic synthesis and finite automata; Testing, design-for-test and test generation algorithms; Physical design; Formal verification; Algorithms implemented in VLSI systems; Systems engineering; Heterogeneous systems.