An Image Encryption Transmission Scheme Based on a Polynomial Chaotic Map

Most existing chaotic systems have many drawbacks in engineering applications, such as the discontinuous range of chaotic parameters, weak chaotic properties, uneven chaotic sequence outputs, and dynamic degradation. Therefore, based on the above, this paper proposes a new method for the design of a...

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Bibliographic Details
Published in:Entropy (Basel, Switzerland) Switzerland), 2023-06, Vol.25 (7), p.1005
Main Authors: Zhang, Yanpeng, Dong, Wenjie, Zhang, Jing, Ding, Qun
Format: Article
Language:English
Subjects:
Chaos theory
Complexity
dynamic degradation
Dynamical systems
Entropy
Flow control
image encryption
Image transmission
Investment analysis
Liapunov exponents
Lyapunov exponent
Polynomials
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Summary:Most existing chaotic systems have many drawbacks in engineering applications, such as the discontinuous range of chaotic parameters, weak chaotic properties, uneven chaotic sequence outputs, and dynamic degradation. Therefore, based on the above, this paper proposes a new method for the design of a three-dimensional chaotic map. One can obtain the desired number of positive Lyapunov exponents, and can also obtain the desired value of positive Lyapunov exponents. Simulation results show that the proposed system has complex chaotic behavior and high complexity. Finally, the method is implemented into an image encryption transmission scheme and experimental results show that the proposed image encryption scheme can resist brute force attacks, correlation attacks, and differential attacks, so it has a higher security.
ISSN:1099-4300
1099-4300
DOI:10.3390/e25071005