分数阶超混沌系统的耦合广义投影同步及其在保密通信中的应用

Coupled Generalized Projective Synchronization of the Fractional-order Hyperchaotic System and Its Application in Secure Communication

研究了分数阶混沌耦合广义投影同步及其在保密通信中的应用问题.提出了一种分数阶混沌系统耦合广义投影同步方案,基于分数阶系统稳定性理论,通过设计同步控制器,使得分数阶超混沌Chen系统达到了耦合广义投影同步;并结合混沌掩盖方法,通过引入可逆转换函数,设计了一种分数阶超混沌保密通信方案.数值仿真结果进一步验证了同步方法的有效性和保密通信方案的可行性.

The problem of coupled generalized projective synchronization of the fractional-order chaotic systems and its application in secure communication is investigated in this paper. Firstly, a coupled generalized projective synchronization method for the fractional-order chaotic systems is proposed. Then, based on the stability theory of the fractional-order system, coupled projective synchronization of the fractional-order hyperchaotic Chen system is achieved through designing the controller. Finally, by combing with the chaotic masking method and employing the invertible functions for transforming the information signal, a fractional-order hyperchaotic secure communication scheme is presented. Corresponding simulation results further verify the effectiveness of the proposed synchronization method and the feasibility of the secure communication scheme.