忆阻混沌系统的动力学分析及快速同步控制
Dynamic analysis and fast synchronization control of memristor chaotic systems
代文鹏 1陈恒 2沈敏 3李勇兴2
作者信息
- 1. 烟台科技学院 海洋工程学院,山东 烟台 265600
- 2. 西京学院 机械工程学院,陕西 西安 710123
- 3. 齐鲁理工学院 智能制造与控制工程学院,山东 济南 250200
- 折叠
摘要
为验证忆阻混沌系统的动力学复杂性及实现复杂系统快速同步的目的,利用忆阻器非线性特点构造最简并行忆阻混沌系统;利用李雅普诺夫(LE)指数详细分析单参数及多参数变化下系统周期,以及弱混沌、强混沌等一系列空间复杂行为特点;利用分岔图分析系统分岔、倍周期分岔及混沌的演变过程,利用相图平面展示特殊节点的行为特征;利用驱动-响应同步算法及指数趋近率同步算法在初始条件不确定情况下实现了系统同步.实验结果表明,该系统能够产生丰富的动力学特性,指数趋近率同步算法与驱动-响应同步算法相比较,指数趋近率同步算法大幅度提高系统的同步速度.与已有文献的忆阻混沌耦合同步算法对比,指数趋近率同步算法同步时间更短.
Abstract
In order to verify the dynamic complexity of the memristor chaotic system and realize the fast syn-chronization of the complex system,the most simple parallel memristor chaotic system is constructed by using the nonlinear characteristic of the memristor.By using Lyapunov exponent(LE),a series of spatial complex be-haviors such as period,weak chaos and strong chaos of the system with single and multi-parameters are ana-lyzed in detail.The evolution of period-doubling bifurcation and chaos is illustrated by using the phase dia-gram plane.The drive-response synchronization algorithm and exponential reaching rate synchronization algo-rithm are used to realize system synchronization under uncertain initial conditions.The experimental results show that the system can produce rich dynamic characteristics.Compared with the drive-response synchroniza-tion algorithm,the exponential approach rate synchronization algorithm greatly improves the synchronization speed of the system,in order to further verify the effectiveness of the proposed method.Compared with the exist-ing memoryresistive chaotic coupling synchronization algorithm,the results show that the exponential reaching rate synchronization algorithm has shorter synchronization time.
关键词
混沌系统/忆阻器/动力学/快速同步控制Key words
chaotic systems/memristor/dynamics/fast synchronization control引用本文复制引用
基金项目
陕西省重点研发计划(2018GY-091)
西安市科技创新引导项目(201805043YD21CG27-2)
陶瓷工业粉尘超低排放及回收利用技术示范项目(2017134SF/WM028)
出版年
2024
NETL
NSTL
万方数据