摘要
分数阶混沌系统的对偶同步是一个新的同步方法.有关分数阶混沌系统对偶投影同步的研究较少.基于分数阶系统的稳定性理论,通过设计线性控制器研究了分数阶混沌系统的对偶投影同步.给出了一个实现分数阶混沌系统对偶投影同步的一般方法,推广了现有对偶同步的研究结果,通过分数阶Van der Pol系统和分数阶Willis系统的数值仿真证实了该方法的有效性.
The dual synchronization of fractional-order chaotic systems is a new method of synchronization.There was few study on the dual projective synchronization of fractional-order chaotic systems. With a linear signal,the dual projective synchronization of fractional-order chaotic systems was investigated.Based on the stability theory of the fractional-order systems,a general method was proposed. Furthermore,the work extends the previous research of dual synchronization. Finally,the dual projective synchronizations of the fractional-order Van der Pol system and the fractional-order Willis system were numerically simulated. The corresponding results show the effectiveness of the present method.
出处
《应用数学和力学》
CSCD
北大核心
2016年第7期710-717,共8页
Applied Mathematics and Mechanics
基金
国家自然科学基金(11571016)
教育部博士点专项基金(20093401120001)
安徽省自然科学基金(11040606M12,1608085MA14)
安徽省高等学校自然科学研究重点项目(KJ2015A152)
安徽省高校自然科学研究基金(AQKJ2014B012)~~
关键词
对偶投影同步
分数阶
混沌系统
线性
dual projective synchronization
fractional order
chaotic system
linear
