分数阶混沌系统同步及其在保密通信中的应用

Fractional Order Chaotic Systems Synchronizationand Its Application in Secure Communication

分数阶混沌系统相对整数阶混沌系统具有更为宽广的密钥空间,非常适合在保密通信中的应用。基于分数阶微分及其逼近原理,利用主从控制技术研究了分数阶R?ssler混沌系统的同步控制,大约在1.5s实现了混沌系统的同步,并结合混沌掩盖技术,实现了分数阶混沌系统在保密通信中的应用,数值仿真结果验证了该方案与理论分析的一致性。

Fractional order chaotic systems have a wider key space compared to integer order chaotic systems,making them very suitable for applications in secure communication.Based on the principles of fractional order differentiation and its approximation,a master-slave control technique was used to study fractional order R?ssler synchronization control of the ssler chaotic system was achieved in approximately 1.5 seconds,and combined with chaotic masking technology,the application of fractional order chaotic systems in secure communication was achieved.Numerical simulation results verified the consistency of this scheme with theoretical analysis.