基于矩阵理论的分数阶超混沌系统切换同步  

Switching Synchronization of Fractional-Order Hyperchaotic System Based on Matrix Theory

作　　者：初奇璇 张环宇[1] 岳立娟[1] 

机构地区：[1]东北师范大学物理学院,长春130024

出　　处：《吉林大学学报（理学版）》2016年第2期361-368,共8页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:10847110);吉林省自然科学基金(批准号:201115008)

摘　　要：基于矩阵理论,结合主动控制方法,设计一个合适的控制器,通过开关控制将其加在不同的系统上,实现新的分数阶超混沌系统与分数阶超混沌Lorenz系统间的切换同步.基于波特图的频域近似方法,设计分数阶超混沌系统同步电路,电路仿真结果进一步证明了理论分析和数值模拟的正确性.Based on the matrix theory,combined with active control method,we designed a suitable controller.Controller applied to the different systems by changing switches,the switching synchronization between new fractional-order hyperchaotic system and fractional-order hyperchaotic Lorenz system was realized. Applying frequency domain approximation method based on Bode diagram,we designed synchronization circuits of fractional-order hyperchaotic systems. The results of circuit simulation further verify the correctness of theoretical analysis and numerical simulation.

关 键 词：矩阵理论 切换同步 电路仿真 

分 类 号：O545[理学—物理]