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Dynamical analysis, geometric control and digital hardware implementation of a complex-valued laser system with a locally active memristor |
| Yi-Qun Li(李逸群)1, Jian Liu(刘坚)1,†, Chun-Biao Li(李春彪)2,3, Zhi-Feng Hao(郝志峰)1, and Xiao-Tong Zhang(张晓彤)1 |
1. School of Mathematical Sciences, University of Jinan, Jinan 250022, China;
2. School of Artificial Intelligence, Nanjing University of Information Science and Technology, Nanjing 210044, China;
3. Collaborative Innovation Center on Forecast and Evaluation of Meteorological Disasters, Nanjing University of Information Science and Technology, Nanjing 210044, China |
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Abstract In order to make the peak and offset of the signal meet the requirements of artificial equipment, dynamical analysis and geometric control of the laser system have become indispensable. In this paper, a locally active memristor with non-volatile memory is introduced into a complex-valued Lorenz laser system. By using numerical measures, complex dynamical behaviors of the memristive laser system are uncovered. It appears the alternating appearance of quasi-periodic and chaotic oscillations. The mechanism of transformation from a quasi-periodic pattern to a chaotic one is revealed from the perspective of Hamilton energy. Interestingly, initial-values-oriented extreme multi-stability patterns are found, where the coexisting attractors have the same Lyapunov exponents. In addition, the introduction of a memristor greatly improves the complexity of the laser system. Moreover, to control the amplitude and offset of the chaotic signal, two kinds of geometric control methods including amplitude control and rotation control are designed. The results show that these two geometric control methods have revised the size and position of the chaotic signal without changing the chaotic dynamics. Finally, a digital hardware device is developed and the experiment outputs agree fairly well with those of the numerical simulations.
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Received: 29 March 2023
Revised: 16 May 2023
Accepted manuscript online:
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PACS:
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05.45.Gg
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(Control of chaos, applications of chaos)
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05.45.Jn
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(High-dimensional chaos)
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05.45.Pq
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(Numerical simulations of chaotic systems)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No.61773010) and Taishan Scholar Foundation of Shandong Province of China (Grant No.ts20190938). |
Cite this article:
Yi-Qun Li(李逸群), Jian Liu(刘坚), Chun-Biao Li(李春彪), Zhi-Feng Hao(郝志峰), and Xiao-Tong Zhang(张晓彤) Dynamical analysis, geometric control and digital hardware implementation of a complex-valued laser system with a locally active memristor 2023 Chin. Phys. B 32 080503
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[1] Maiman T H 2010 IEEE International Symposium on Circuits and Systems, May 30-June 02, 2010, Paris, France, p. 1947
[8] Merolla P A, Arthur J V, Alvarez-Icaza R, Cassidy A S, Sawada J, Akopyan F, Jackson B L, Imam N, Guo C, Nakamura Y, Brezzo B, Vo I, Esser S K, Appuswamy R, Taba B, Amir A, Flickner M D, Risk W P, Manohar R and Modha D S 2017 IEEE 30th Canadian Conference on Electrical and Computer Engineering, April 30-May 03, 2017, Windsor, Canada, p. 1
[17] Zhang F F, Gao R and Liu J 2013 Acta Electon. Sinica 41 1765 (in Chinese) |
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