%0 Journal Article
%T 基于降阶方法的分数阶多涡卷混沌系统的同步控制<br>Synchronization control of fractional-order multi-scroll chaotic system based on reduced-order method
%A 王春彦
%A 邸金红&lt
%A br&gt
%A Chunyan WANG
%A Jinhong DI
%J 山东大学学报（工学版）
%D 2018
%R 10.6040/j.issn.1672-3961.0.2017.614
%X 基于降阶方法研究整数阶分数阶多涡卷混沌系统的同步问题,将三阶分数阶多涡卷混沌系统转化为一阶系统,利用分数阶微积分给出了驱动-响应系统取得混沌同步的充分条件,给出严格的数学证明和推理过程,仿真例子验证了方法的有效性。<br>The problem of synchronization control of intergal-order and fractional-order multi-scroll chaotic systems were studied based on reduced-order method. Third fractional-order multi-scroll system was transferred into a first-order system. The chaotic synchronization sufficient conditions were arrived for the drive-response systems of fractional-order multi-scroll system which acquired synchronization using fractional-order Lyapunov. The strict proof in mathematics was given out, and the simulations examples demonstrated the efficient of the proposed method.
%K 分数阶
%K 多涡卷系统
%K 降阶
%K 同步
%K &lt
%K br&gt
%K fractional-order
%K multi-scroll systems
%K reduced-order
%K synchronization
%U http://gxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1672-3961.0.2017.614