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

by 1,2 and 1,*
1
Electronic Engineering College, Heilongjiang University, Harbin 150080, China
2
Electrical Engineering College, Suihua University, Suihua 152061, China
*
Author to whom correspondence should be addressed.
Entropy 2020, 22(3), 310; https://doi.org/10.3390/e22030310
Received: 22 January 2020 / Revised: 1 March 2020 / Accepted: 6 March 2020 / Published: 10 March 2020
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. View Full-Text
Keywords: hyperchaotic system; image encryption; entropy test; statistical tests hyperchaotic system; image encryption; entropy test; statistical tests
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MDPI and ACS Style

Ding, L.; Ding, Q. The Establishment and Dynamic Properties of a New 4D Hyperchaotic System with Its Application and Statistical Tests in Gray Images. Entropy 2020, 22, 310. https://doi.org/10.3390/e22030310

AMA Style

Ding L, Ding Q. The Establishment and Dynamic Properties of a New 4D Hyperchaotic System with Its Application and Statistical Tests in Gray Images. Entropy. 2020; 22(3):310. https://doi.org/10.3390/e22030310

Chicago/Turabian Style

Ding, Lina, and Qun Ding. 2020. "The Establishment and Dynamic Properties of a New 4D Hyperchaotic System with Its Application and Statistical Tests in Gray Images" Entropy 22, no. 3: 310. https://doi.org/10.3390/e22030310

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