一类分数阶复混沌系统的异构组合同步

Heterogeneous combinatorial synchronization of a class of fractional-order complex chaotic systems

针对分数阶复混沌系统同步问题的研究,提出一种2个驱动系统和1个响应系统的组合同步问题,设计一种基于主动控制原理的控制器。以复Lorenz系统、新的混沌非线性分数阶复系统和复T系统为例,通过主动控制给出同步控制器的设计原理;基于分数阶线性稳定性理论,由Lyapunov函数证明了误差系统的稳定性,从而使异构分数阶复混沌系统达到组合同步;依靠数值模拟验证主动控制方法在异构非线性复混沌系统的组合同步的有效性和可行性。

Aiming at the synchronization of fractional complex chaotic system,this paper attempts to achieve hybrid synchronization between two drive systems and one response system and designs a controller based on active control principle.Taking complex Lorenz system,a new chaotic nonlinear fractional complex system and complex T system as an example,the design principle of synchronization controller is given by active control,and is based on fractional-order linear stability theory.The stability of the error system is proved by Lyapunov function,so as to realize the combined synchronization of homogeneous heterogeneous fractional complex chaotic system.Thus the heterogeneous fractional complex chaotic system achieves combined synchronization.The effectiveness and feasibility of the combined synchronization of the active control method in the heterogeneous nonlinear complex chaotic system are verified by numerical simulation.