Dual Projective Synchronization of Fractional-Order Chaotic Systems With a Linear Controller
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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.Abstract: 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.
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Key words:
- dual projective synchronization /
- fractional order /
- chaotic system /
- linear
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