Three-Dimensional Discrete Echo-Memristor Map: Dynamic Analysis and DSP Implementation
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| 出版年: | Mathematics vol. 13, no. 21 (2025), p. 3442-3458 |
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| 第一著者: | |
| その他の著者: | , , , , , , |
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MDPI AG
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| オンライン･アクセス: | Citation/Abstract Full Text + Graphics Full Text - PDF |
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| 045 | 2 | |b d20250101 |b d20251231 | |
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| 100 | 1 | |a Ding Siqi |u School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China | |
| 245 | 1 | |a Three-Dimensional Discrete Echo-Memristor Map: Dynamic Analysis and DSP Implementation | |
| 260 | |b MDPI AG |c 2025 | ||
| 513 | |a Journal Article | ||
| 520 | 3 | |a 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. | |
| 610 | 4 | |a National Institute of Standards & Technology | |
| 653 | |a Amplitudes | ||
| 653 | |a Signal generation | ||
| 653 | |a Real time operation | ||
| 653 | |a Digital signal processing | ||
| 653 | |a Hardware | ||
| 653 | |a Chaos theory | ||
| 653 | |a Initial conditions | ||
| 653 | |a Signal processing | ||
| 653 | |a Liapunov exponents | ||
| 653 | |a Design | ||
| 653 | |a Controllability | ||
| 653 | |a Digital signal processors | ||
| 653 | |a Memristors | ||
| 653 | |a Self-similarity | ||
| 700 | 1 | |a Meng Ke |u School of Information Science and Engineering, Dalian Polytechnic University, Dalian 116034, Chinagaosuo@dlpu.edu.cn (S.G.); moujun@dlpu.edu.cn (J.M.) | |
| 700 | 1 | |a Zhang, Minghui |u School of Information Science and Engineering, Dalian Polytechnic University, Dalian 116034, Chinagaosuo@dlpu.edu.cn (S.G.); moujun@dlpu.edu.cn (J.M.) | |
| 700 | 1 | |a Lin, Yiting |u Guangdong Provincial/Zhuhai Key Laboratory of Interdisciplinary Research and Application for Data Science, Beijing Normal-Hong Kong Baptist University, Zhuhai 519087, China; yitinglin@ieee.org | |
| 700 | 1 | |a Wang, Chunpeng |u Key Laboratory of Computing Power Network and Information Security, Ministry of Education, National Supercomputer Center in Jinan, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China | |
| 700 | 1 | |a Li, Qi |u Key Laboratory of Computing Power Network and Information Security, Ministry of Education, National Supercomputer Center in Jinan, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China | |
| 700 | 1 | |a Gao Suo |u School of Information Science and Engineering, Dalian Polytechnic University, Dalian 116034, Chinagaosuo@dlpu.edu.cn (S.G.); moujun@dlpu.edu.cn (J.M.) | |
| 700 | 1 | |a Mou, Jun |u School of Information Science and Engineering, Dalian Polytechnic University, Dalian 116034, Chinagaosuo@dlpu.edu.cn (S.G.); moujun@dlpu.edu.cn (J.M.) | |
| 773 | 0 | |t Mathematics |g vol. 13, no. 21 (2025), p. 3442-3458 | |
| 786 | 0 | |d ProQuest |t Engineering Database | |
| 856 | 4 | 1 | |3 Citation/Abstract |u https://www.proquest.com/docview/3271047332/abstract/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |
| 856 | 4 | 0 | |3 Full Text + Graphics |u https://www.proquest.com/docview/3271047332/fulltextwithgraphics/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |
| 856 | 4 | 0 | |3 Full Text - PDF |u https://www.proquest.com/docview/3271047332/fulltextPDF/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |