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

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.

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.