非线性耦合分数阶系统的异结构同步

Synchronization of Nonlinear Coupled Fractional-order Systems with Different Structures

针对异结构的分数阶混沌系统同步问题,提出了非线性耦合分数阶异结构混沌系统的同步方法,即在α+β-1=0条件下,利用非线性耦合实现两个异结构分数阶混沌系统同步,并通过数值仿真证明了其有效性.仿真实验显示,随着耦合系数的变化,系统呈现多样性,分数阶混沌系统出现不同混沌状态,而分数阶超混沌系统不仅会出现超混沌状态,还会出现发散的现象.

To synchronize fractional-order chaotic systems with different structures,the nonlinear-coupled method is proposed,which realizes the synchronization of fractional-order chaotic systems with different structures when α ＋ β-1 = 0. Numerical simulation experiments show the coupled systems are diverse with the change of coupling coefficients,and they present different chaotic states for fractional-order chaotic systems,but they have hyperchaotic states and divergent states for fractional hyperchaotic systems.