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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 one-way coupled synchronization method is used to design and implement the self-synchronization of a given hyper-chaotic system of the same degree. The correctness and validity of the synchronization method are theoretically analyzed. In addition, the hyperchaotic system of order 3.6 is taken as an example to simulate and design the fractional-order hyperchaotic system and its unidirectional coupled synchronous system by using the Bode-based frequency-domain approximation method. The obtained results and numerical simulations The results show that the one-way coupling synchronization is practicable. On this basis, the chaotic masking of secure communication scheme based on the coupled synchronization is further studied, and the numerical simulation results agree well with the experimental results of the actual circuit, indicating that the secure communication scheme is effective and has good confidentiality.