新型混沌系统的同步及在图像加密传输中的应用

摘要

In this paper,a new four-dimensional four-wing chaotic system is proposed and its dynamic properties are inves-tigated through numerical simulations. The different dynamic behaviors of the new system are analyzed with system parame-ters changed. Based on the stability theory of fractional-order chaotic system,chaotic synchronization between fractional-or-der chaotic system and chaotic system of integer orders is successfully completed. Furthermore,the synchronization is ap-plied to a new image encryption transmission. The image can be concealed and recovered. Numerical simulation results prove the feasibility of the proposed method of synchronization application and the existence of the new chaotic system.%提出一个新型四维四翼混沌系统，分析了参数变化时系统动力学行为的特性。基于分数阶混沌系统稳定性理论，设计合适的非线性反馈控制器，实现了初始值不同的整数阶与其分数阶混沌系统之间的同步。此外，利用改进的混沌掩盖通信原理，提出了一种新型图像加密传输方法，并将以上同步方案应用于图像加密传输中，在发送端使用整数阶混沌序列对图像加密传送，从接收端可以无失真地恢复出原始图像。数值仿真证实了新混沌系统的存在性以及同步控制应用的可行性。