分数阶统一混沌系统的投影同步

Projective synchronization of the fractional order unified system

改变系统参数计算了分数阶统一系统的最大Lyapunov指数和关联维数,研究了分数阶统一系统的动力学行为.基于线性系统的稳定判定准则,设计了一种同步方案,实现了分数阶统一混沌系统的投影同步.通过对分数阶Chen系统、分数阶L櫣系统和分数阶类Lorenz系统投影同步的数值模拟,进一步验证了所提出方案的有效性.

This paper calculates the largest Lyapunov exponent and correction dimension of the fractional order unitied system when changing the system parameter, and studies the dynamical behavior of this system. Based on the stability criterion of linear systems, a new approach for constructing projective synchronization of fractional order unified system is proposed. Numerical simulations of fractional order Chen system, fractional order Lü system and fractional order Lorenz-like system are provided to demonstrate the effectiveness of the proposed scheme.