The Establishment and Dynamic Properties of a New 4D Hyperchaotic System with Its Application and Statistical Tests in Gray Images

被引：13
作者：
Ding, Lina [1 ,2 ]
Ding, Qun [1 ]
机构：
[1] Heilongjiang Univ, Elect Engn Coll, Harbin 150080, Peoples R China
[2] Suihua Univ, Elect Engn Coll, Suihua 152061, Peoples R China
来源：
ENTROPY | 2020年 / 22卷 / 03期
关键词：
hyperchaotic system; image encryption; entropy test; statistical tests; CHAOTIC SYSTEM; COEXISTING ATTRACTORS; ENCRYPTION ALGORITHM; NETWORKS; LORENZ;
D O I：
10.3390/e22030310
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
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页数：19
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