分数阶和整数阶混沌系统的投影同步

Projective Synchronization between Fractional-order Chaotic System and Integer-order Chaotic System

介绍了一种新的三维分数阶混沌系统,通过理论解析、Lyapunov指数与维数求解以及变换分数阶混沌系统阶数时,系统相图和吸引子的变化情况验证了该系统是混沌的。通过研究追踪信号的理念和模拟整数阶混沌同步控制器的原理,发现了一个新的非线性控制器。理论推导和Matlab实例仿真结果表明:该非线性控制器可使分数阶混沌系统与同维整数阶混沌系统之间具有良好的投影同步效果。

A new three-dimensional fractional-order chaotic system was introduced. Through theoretical analysis,solving Lyapunov exponent and dimension and changing the order of new fractional-order chaotic system,the variation in the system 's state trajectories and attractor verifies the system effectiveness; meanwhile,through analyzing the concept of tracking signals and simulating the working principle of integer-order chaotic synchronization controller,a new nonlinear controller was developed. Both theoretical derivation and Matlab simulation shows that,this nonlinear controller can bring about better projective effect between the fractionalorder chaotic system and the integer-order chaotic system.