一个分数阶超混沌系统同步及其保密通信研究

Study of Synchronization for Fractional-order Hyperchaotic System and Its Application in Secure Communication

应用单向耦合同步的方法对所给出的一个同量分数阶超混沌系统的自同步进行设计和实现,并从理论上分析了该同步方法的正确性和有效性。另外,以3.6阶超混沌系统为例,利用基于Bode图频域近似的方法,对该分数阶超混沌系统及其单向耦合同步系统进行模拟电路设计与实现,得到的电路实现结果与数值仿真结果一致,验证了该单向耦合同步是实际可行的。在此基础上,进一步对基于该耦合同步的混沌掩盖保密通信方案进行分析研究,得到的数值仿真结果和实际电路实验结果吻合,表明该保密通信方案有效可行,且具有良好的保密性。

A unidirectionally coupled synchronization method was adopted to design and implement the synchronization for the reported commensurate fractional-order hyperchaotic system, and its correctness and effectiveness were analyzed in theory. Moreover, taking an example of 3.6-order hyperchaotic system, analog circuits were designed to implement the fractional-order hyperchaotic system and its unidirectionally coupled synchronization with the frequency-domain approximation method based on Bode diagram. By conducting the circuit implementation, it is found that the results of the circuit implementation are in good agreement with those of the numerical simulation, which demonstrates the feasibility of the synchronization. On this basis, a secure communication scheme of chaotic masking based on the adopted synchronization method is investigated, and the circuit experiment results agree with the numerical simulation results, indicating that the secure communication scheme is effective and has good secrecy.