六维三次超混沌系统及其在图像加密中的应用

由于超混沌系统的混沌特性更为复杂,所以高维数的超混沌系统的设计已经成为混沌理论研究的一个新方向。在四维和五维混沌系统的基础上构造了六维三次超混沌系统,李雅谱诺夫指数计算和Matlab仿真结果证明该系统具有超混沌特性;同时设计了相应的硬件实现电路,并对其进行Multisim仿真,所得到的结果与系统的Matlab仿真结果完全一致,都呈现出了相同的混沌吸引子,说明了该系统的可实现性,最后利用该混沌信号源完成了图像的加密和解密,实现了保密通信的应用。

Six-dimensional Three Hyperchaotic System and Application in Image Encryption

Because the characteristic of the hyperchaotic system is more complex, so design higher dimensional hyperchaotic system has become a new direction in the study of chaos theory. Based on four and five- dimensional chaotic system, we constructed six-dimensional three hyperchaotic system, the results of Lyapunov index calculation and Matlab simulation prove that the system is hyperchaotic. We also design the corresponding hardware circuit of the system and do its Multisim simulation. The results are same to the Matlab simulation results, they all show the same chaotic attractors. It means that the system can be realized. Finally, the chaotic signal sources are used to complete encryption and decryption of the image and achieved the application of confidential communication.