Dynamical analysis,geometric control and digital hardware implementation of a complex-valued laser system with a locally active memristor  

作　　者：李逸群 刘坚 李春彪 郝志峰 张晓彤 Yi-Qun Li;Jian Liu;Chun-Biao Li;Zhi-Feng Hao;Xiao-Tong Zhang(School of Mathematical Sciences,University of Jinan,Jinan 250022,China;School of Artificial Intelligence,Nanjing University of Information Science and Technology,Nanjing 210044,China;Collaborative Innovation Center on Forecast and Evaluation of Meteorological Disasters,Nanjing University of Information Science and Technology,Nanjing 210044,China)

机构地区：[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

出　　处：《Chinese Physics B》2023年第8期226-236,共11页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant No.61773010);Taishan Scholar Foundation of Shandong Province of China(Grant No.ts20190938)。

摘　　要：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.

关 键 词：complex-valued chaotic systems locally active memristor multi-stability Hamilton energy geometric control 

分 类 号：TN60[电子电信—电路与系统] TN24