非线性耦合分数阶系统的异结构同步-《集美大学学报（自然科学版）》

文章信息/Info

Title:: Synchronization of Nonlinear Coupled Fractional-order Systems with Different Structures

Author(s):: CHEN Rong-wang¹; XU Bi-rong2; 1.Center of Laboratory Management,Wuyi University,Wuyishan 354300,China;2.School of Mechanical and Electrical Engineering,Wuyi University,Wuyishan 354300,China

Keywords:: nonlinear coupling function; fractional-order chaotic system; different structure; synchronization

摘要:: 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.

Abstract:: 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．