Ding Lina, Ding Qun
Electronic Engineering College, Heilongjiang University, Harbin 150080, China.
Electrical Engineering College, Suihua University, Suihua 152061, China.
Entropy (Basel). 2020 Mar 10;22(3):310. doi: 10.3390/e22030310.
In this paper, a new 4D hyperchaotic system is generated. The dynamic properties of attractor phase space, local stability, poincare section, periodic attractor, quasi-periodic attractor, chaotic attractor, bifurcation diagram, and Lyapunov index are analyzed. The hyperchaotic system is normalized and binary serialized, and the binary hyperchaotic stream generated by the system is statistically tested and entropy analyzed. Finally, the hyperchaotic binary stream is applied to the gray image encryption. The histogram, correlation coefficient, entropy test, and security analysis show that the hyperchaotic system has good random characteristics and can be applied to the gray image encryption.
本文中，生成了一个新的4D超混沌系统。分析了吸引子相空间的动力学特性、局部稳定性、庞加莱截面、周期吸引子、准周期吸引子、混沌吸引子、分岔图和李雅普诺夫指数。对该超混沌系统进行归一化和二进制序列化，并对系统生成的二进制超混沌流进行统计测试和熵分析。最后，将超混沌二进制流应用于灰度图像加密。直方图、相关系数、熵测试和安全性分析表明，该超混沌系统具有良好的随机特性，可应用于灰度图像加密。
