分数阶混沌系统与整数阶混沌系统之间的同步  

Synchronization between fractional-order chaotic system and chaotic system of integer orders

作　　者：周平[1] 邝菲[1] 

机构地区：[1]重庆邮电大学应用物理研究所,重庆400065

出　　处：《物理学报》2010年第10期6851-6858,共8页Acta Physica Sinica

摘　　要：基于追踪控制的思想,利用分数阶系统稳定性理论,实现了分数阶混沌系统与整数阶混沌系统之间的混沌同步,给出了补偿器和反馈控制器的选择方法.以三维分数阶Chen系统和三维整数阶Lorenz混沌系统之间的混沌同步为例进行了数值仿真和电路仿真.研究表明了该同步方法的有效性。Based on the idea of tracking control and the stability theory of linear fractional-order system,chaotic synchronization between fractional-order chaotic system and chaotic system of integer orders is proposed.A compensation controller and a feedback controller are given.Synchronization between the fractional-order Chen chaotic system and the Loren chaotic system of integer orders is used to illustrate the effectiveness of the proposed synchronization approach.Numerical and circuit simulations coincide with the theoretical analysis.

关 键 词：分数阶混沌系统 整数阶混沌系统 混沌同步 追踪控制 

分 类 号：O415.5[理学—理论物理]