标题： 分数阶统一混沌系统的共耦合同步 显示英文标题

标题： Co-coupled synchronization of fractional-order unified chaotic systems

摘要： 分数阶混沌系统的同步是非线性研究领域的一个热点话题。 本文研究了两个具有不同初始条件的分数阶混沌系统之间的共耦同步。 基于李雅普诺夫稳定性原理和盖尔逊定理，推导出分数阶混沌系统的共耦同步定理，并确定了分数阶统一混沌系统同步的耦合系数范围。 通过在Simulink上建立同步仿真模型，对两个具有不同初始值的分数阶统一混沌系统进行共耦同步，并分析同步性能，仿真结果表明该同步方法是有效的。 显示英文摘要

摘要： Synchronization of fractional-order chaotic systems is a hot topic in the field of nonlinear study. The co-coupled synchronization between two fractional-order chaotic systems with different initial conditions is investigated in this paper. Based on Lyapunov stability principle and Gerschgorin theorem, the co-coupled synchronization theorem of fractional-order chaotic systems is deduced, and the range of coupling coefficients is confirmed for synchronization of fractional-order unified chaotic systems. By building up the synchronization simulation model on Simulink, the co-coupled synchronization between two fractional-order unified chaotic systems with different initial value is carried out, and the synchronization performances are analyzed, and the simulation results show that this synchronization method is effective.