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Three-Dimensional Discrete Echo-Memristor Map: Dynamic Analysis and DSP Implementation
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DOI：10.3390/math13213442.png)
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摘要
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In recent years, with the development of novel hardware such as memristors, integrating chaotic systems with hardware implementations has enabled efficient and controllable generation of chaotic signals, providing new avenues for both theoretical research and engineering applications. In this work, we propose a novel memristor-based chaotic system, named the three-dimensional discrete echo-memristor map (3D-DEMM). The 3D-DEMM is capable of generating complex dynamic behaviors with self-similar attractor structures; specifically, under different parameters and initial conditions, the system produces similar attractor shapes at different amplitudes, which we refer to as an echo chaotic map. By incorporating the discrete nonlinear characteristics of memristors, the 3D-DEMM is systematically designed. We first conduct a thorough dynamic analysis of the 3D-DEMM, including attractor visualization, Lyapunov exponents, and NIST tests, to verify its chaoticity and self-similarity. Subsequently, the attractors of the 3D-DEMM are captured on a DSP platform, demonstrating discrete-time hardware simulation and real-time operation. Experimental results show that the proposed system not only exhibits highly controllable chaotic behavior but also demonstrates strong robustness in maintaining amplitude-invariant attractor shapes, providing a new theoretical and practical approach for memristor-based chaotic signal generation and applications in information security.
Keyword:
memristor
chaotic system
self-similar attractor
DSP implementation
期刊
IF:
2.2
论文数:
2.9K
被引数:
3.6W
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引用论文
Bao, H.; Fan, J.; Hua, Z.; Xu, Q.; Bao, B. Discrete Memristive Hopfield Neural Network and Application in Memristor-State-Based Encryption. IEEE Internet Things J. 2025, 12, 31843–31855. [Google Scholar] [CrossRef]包, H.; 范, J.; 华, Z.; 徐, Q.; 包, B. 离散忆阻器霍普菲尔德神经网络及其在基于忆阻器状态加密中的应用. IEEE 物联网杂志. 2025, 12, 31843–31855. [Google Scholar] [CrossRef].png)
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