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Open AccessArticle

Entropy Analysis and Image Encryption Application Based on a New Chaotic System Crossing a Cylinder

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Department of Computer Sciences, University of Technology, Baghdad 10011, Iraq
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Department of Applied Sciences, University of Technology, Baghdad 10011, Iraq
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Department of Biomedical Engineering, Amirkabir University of Technology, 350 Hafez Ave., Tehran 1591634311, Iran
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Department of Mathematics, Statistics and Physics, Qatar University, Doha 2713, Qatar
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Author to whom correspondence should be addressed.
Entropy 2019, 21(10), 958; https://doi.org/10.3390/e21100958
Received: 20 July 2019 / Revised: 18 August 2019 / Accepted: 19 August 2019 / Published: 30 September 2019
Designing chaotic systems with specific features is a hot topic in nonlinear dynamics. In this study, a novel chaotic system is presented with a unique feature of crossing inside and outside of a cylinder repeatedly. This new system is thoroughly analyzed by the help of the bifurcation diagram, Lyapunov exponents’ spectrum, and entropy measurement. Bifurcation analysis of the proposed system with two initiation methods reveals its multistability. As an engineering application, the system’s efficiency is tested in image encryption. The complexity of the chaotic attractor of the proposed system makes it a proper choice for encryption. States of the chaotic attractor are used to shuffle the rows and columns of the image, and then the shuffled image is XORed with the states of chaotic attractor. The unpredictability of the chaotic attractor makes the encryption method very safe. The performance of the encryption method is analyzed using the histogram, correlation coefficient, Shannon entropy, and encryption quality. The results show that the encryption method using the proposed chaotic system has reliable performance. View Full-Text
Keywords: chaotic flow; cylinder; bifurcation; multistability; complexity; encryption chaotic flow; cylinder; bifurcation; multistability; complexity; encryption
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Farhan, A.K.; Al-Saidi, N.M.; Maolood, A.T.; Nazarimehr, F.; Hussain, I. Entropy Analysis and Image Encryption Application Based on a New Chaotic System Crossing a Cylinder. Entropy 2019, 21, 958.

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