基于矩阵理论的分数阶超混沌系统切换同步

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.

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

Based on the matrix theory, combined with active control method, we designed a suitable controller. Controller applied to the differentsystems 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.