一类分数阶超混沌系统的同步及其应用

摘要

应用分数阶微积分稳定性理论,提出了一类分数阶超混沌系统同步控制的新方法,通过在分数阶超混沌响应系统中设计两个控制器,实现了分数阶超混沌Chen系统之间的同步.并将该方案应用到保密通信中,利用混沌掩盖技术,实现了复杂非周期信号的安全传送,在接收端通过去掩盖,毫无失真地恢复了有用传送信号.数值仿真和理论分析结果的一致性表明了该方案的有效性和可行性.%Using the stability theory of fractional calculus, the paper proposes a new control method for the synchronization of the fractional-order hyperchaotic system. In the paper, the synchronization between two identical fractional-order Chen hyperchaotic systems is realized by designing only two suitable controllers in the response system. Furthermore, this control scheme can be used in secure communication via the technology of chaotic masking using the complex non-periodic information as trial message, and the useful information can be recovered at the receiver. Numerical simulations coincide with the theoretical analysis results, demonstrating the effectiveness and feasibility of the proposed method.