物理学报2017，Vol.66Issue(3)：38-49,12.DOI:10.7498/aps.66.030502
基于忆阻器的时滞混沌系统及伪随机序列发生器
A memristor-based time-delay chaotic systems and pseudo-random sequence generator
摘要
Abstract
Memristor, a controllable nonlinear element, is easy to generate a chaotic signal. More significantly, it can improve the complexity of the chaotic system and the randomness of signals. Although the memristor chaotic system is a hot spot of research currently, little attention has been paid to the memristive time-delayed chaotic system. Therefore, a new memristor-based time-delayed chaotic system is proposed in this paper. We construct the time-delayed chaotic system with single delay time by using the nonlinear relationship between the memristance and charge of memristor. The existence of time delay enhances the complexity of chaotic system, which makes the system produce richer and more complex dynamics. In order to study the complex dynamic characteristics of this memristive time-delayed system, we investigate the proposed system by theoretical derivation, numerical simulation, stabilization of equilibrium points, and power spectrum. In addition, the corresponding parameter region of the stable equilibrium point of the system is discussed in detail. Then, we discuss the effect of parameter variation on the dynamic behavior of the system, and a series of phase diagrams with different time-delayed parameters and system parameters is described by numerical simulation. We find that different combinations of parameters and slight changes of parameters can make the system a completely different phase diagram, which indicates that the proposed system has rich nonlinear characteristic. Moreover, the proposed time-delayed system is used to generate pseudo random sequences, and the experimental results show that the proposed system has good self-correlation, cross-correlation, and the significant approximate entropy. According to the theoretical analyses and experimental results, we conclude that the proposed new time-delayed chaotic system has complex dynamic behavior and good randomness, which can meet the needs of the applications in spread spectrum communication, image encryption and many other fields. This research provides a significant reference for further studying the usage of memristor.关键词
忆阻器/时滞混沌/稳定性分析/随机性分析Key words
memristor/time-delayed chaotic/stability analysis/randomness analysis引用本文复制引用
吴洁宁,王丽丹,段书凯..基于忆阻器的时滞混沌系统及伪随机序列发生器[J].物理学报,2017,66(3):38-49,12.基金项目
国家自然科学基金 (批准号: 61372139, 61672436, 61571372)、新世纪优秀人才支持计划 (批准号: 教技函[2013]47号) 和中央高校基本科研业务费专项资金 (批准号: XDJK2016A001, XDJK2014A009) 资助的课题. Project supported by the National Natural Science Foundation of China (Grant Nos. 61372139, 61672436, 61571372), the Program for New Century Excellent Talents in University of Ministry of Education of China (Grant No. [2013]47), and the Fundamental Research Funds for the Central Universities, China (Grant Nos. XDJK2016A001, XDJK2014A009). （批准号: 61372139, 61672436, 61571372）
