两个单摆组成的分数阶多混沌系统的降阶同步  

Reduced Order Synchronization of Fractional Order Multi-chaotic System Composed of Two Simple Pendulums

作　　者：王东晓[1] WANG Dongxiao(School of Mathematics,Zhengzhou University of Aeronautics,Zhengzhou 450046,China)

机构地区：[1]郑州航空工业管理学院数学学院,河南郑州450046

出　　处：《新乡学院学报》2020年第9期1-4,共4页Journal of Xinxiang University

基　　金：国家自然科学青年基金项目(NSFC11501525)。

摘　　要：分别研究了由两个单摆组成的分数阶多混沌系统的降阶同步问题,将四阶分数阶单摆多混沌系统转化为一阶系统。利用稳定性理论和分数阶微积分方法导出了主从系统达到混沌同步的充分条件,并将结论推广到了整数阶多混沌系统。数值仿真说明了该方法的正确性。The reduced order synchronization problem of fractional order multi-chaotic system composed of two simple pendulums was studied.The fourth-order fractional order simple pendulum multi-chaotic system was transformed into a first-order system.The sufficient conditions for the master-slave system to achieve chaos synchronization were derived by using stability theory and fractional calculus method.The conclusion was extended to integer-order multi-chaotic system.Numerical simulation shows the correctness of the method.

关 键 词：多混沌系统 稳定性理论 分数阶微积分方法 混沌同步 

分 类 号：O231.2[理学—运筹学与控制论] TP273.2[理学—数学]