Two-Dimensional Memristive Hyperchaotic Maps and Application in Secure Communication
Continuous memristor has been widely used in chaotic oscillating circuits and neuromorphic computing systems. However, discrete memristor and its coupling discrete map have not been noticed yet. This article presents a discrete memristor and constructs a general two-dimensional memristive map model...
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| Published in | IEEE transactions on industrial electronics (1982) Vol. 68; no. 10; pp. 9931 - 9940 |
|---|---|
| Main Authors | , , , , , |
| Format | Journal Article |
| Language | English |
| Published |
New York
IEEE
01.10.2021
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0278-0046 1557-9948 |
| DOI | 10.1109/TIE.2020.3022539 |
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| Abstract | Continuous memristor has been widely used in chaotic oscillating circuits and neuromorphic computing systems. However, discrete memristor and its coupling discrete map have not been noticed yet. This article presents a discrete memristor and constructs a general two-dimensional memristive map model by coupling the discrete memristor with an existing discrete map. The pinched hysteresis loops of the discrete memristor are demonstrated. Four examples of memristive discrete maps are provided and their coupling strength-relied and memristor initial-boosted complex dynamics are investigated using numerical measures. The evaluation results manifest that the discrete memristor can enhance the chaos complexity and its coupling maps can generate hyperchaos. Particularly, the hyperchaotic sequences can nondestructively be controlled by memristor initial state and the initial-controlled hyperchaos is robust, which is applicable to many chaos-based applications. Additionally, we develop a hardware platform to implement the memristive maps and acquire the four-channel hyperchaotic sequences. We also apply the memristive maps to the application of secure communication and the experiments show that the memristive maps display better performance than some existing discrete maps. |
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| AbstractList | Continuous memristor has been widely used in chaotic oscillating circuits and neuromorphic computing systems. However, discrete memristor and its coupling discrete map have not been noticed yet. This article presents a discrete memristor and constructs a general two-dimensional memristive map model by coupling the discrete memristor with an existing discrete map. The pinched hysteresis loops of the discrete memristor are demonstrated. Four examples of memristive discrete maps are provided and their coupling strength-relied and memristor initial-boosted complex dynamics are investigated using numerical measures. The evaluation results manifest that the discrete memristor can enhance the chaos complexity and its coupling maps can generate hyperchaos. Particularly, the hyperchaotic sequences can nondestructively be controlled by memristor initial state and the initial-controlled hyperchaos is robust, which is applicable to many chaos-based applications. Additionally, we develop a hardware platform to implement the memristive maps and acquire the four-channel hyperchaotic sequences. We also apply the memristive maps to the application of secure communication and the experiments show that the memristive maps display better performance than some existing discrete maps. |
| Author | Zhu, Lei Hua, Zhongyun Li, Houzhen Chen, Mo Bao, Bocheng Bao, Han |
| Author_xml | – sequence: 1 givenname: Houzhen orcidid: 0000-0002-0954-2389 surname: Li fullname: Li, Houzhen email: leehzh@126.com organization: School of Microelectronics and Control Engineering, Changzhou University, Changzhou, China – sequence: 2 givenname: Zhongyun orcidid: 0000-0002-3529-0541 surname: Hua fullname: Hua, Zhongyun email: huazyum@gmail.com organization: School of Computer Science and Technology, Harbin Institute of Technology, Shenzhen, Shenzhen, China – sequence: 3 givenname: Han orcidid: 0000-0002-2329-6890 surname: Bao fullname: Bao, Han email: hi@charlesbao.com organization: School of Microelectronics and Control Engineering, Changzhou University, Changzhou, China – sequence: 4 givenname: Lei orcidid: 0000-0002-2742-0350 surname: Zhu fullname: Zhu, Lei email: zhuleei@126.com organization: School of Electrical and Information Engineering, Jiangsu University of Technology, Changzhou, China – sequence: 5 givenname: Mo orcidid: 0000-0003-1841-7608 surname: Chen fullname: Chen, Mo email: mchen@cczu.edu.cn organization: School of Microelectronics and Control Engineering, Changzhou University, Changzhou, China – sequence: 6 givenname: Bocheng orcidid: 0000-0001-6413-3038 surname: Bao fullname: Bao, Bocheng email: mervinbao@126.com organization: School of Microelectronics and Control Engineering, Changzhou University, Changzhou, China |
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| SubjectTerms | Chaos Chaotic communication Complexity Coupling Couplings discrete memristor Hardware hardware platform hyperchaotic sequence Hysteresis Hysteresis loops Mathematical models memristive map Memristors Robust control secure communication Two dimensional models Two-dimensional displays |
| Title | Two-Dimensional Memristive Hyperchaotic Maps and Application in Secure Communication |
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