Abstract
In this study, a networked spatiotemporal chaotic map model is proposed based on the traditional coupled map lattice system. In addition, the time delay and variable topology parameters are considered to make the system more practical. The chaotic properties are analyzed using a bifurcation diagram, Lyapunov exponents, and entropies. In addition, institute of standards and technology tests are conducted to further analyze the randomness of the system signal. Based on the proposed system, a three-dimensional encryption algorithm is designed to encrypt multiple color images with scrambling and diffusion at the bit level. Several analyses, including histogram analysis, information entropy analysis, correlation analysis, key sensitivity, differential attack analysis, and resistance analyses, are performed to test the effectiveness and robustness of the proposed multiple image encryption algorithm with a networked chaotic map model.
Highlights
With the development of computer science and information security theory, data encryption has been widely studied and attracted intense research attention
It should be noticed that even though this paper focus on the multiple image encryption, the encryption algorithm can be applied in single image encryption as a special case of multiple image encryption
The spatiotemporal chaotic system coupled map lattice (CML) was extended to the networked chaotic map model (NCMM) with network topology analysis
Summary
With the development of computer science and information security theory, data encryption has been widely studied and attracted intense research attention. In the earlier chaos image encryption studies, chaos maps utilized in encryption were always traditional classical maps These systems have good performances with limited dimensions and detailed structures. A useful spatiotemporal map system, called the coupled map lattice (CML), which adds coupling relations to multiple local dimensional maps, has been proposed and utilized in image encryption [26]– [32]. Time delays for the networked system are common; the CML needs to be extended by adding time lags Motivated by these discussions, this study proposes a networked chaotic map model with added network time delays to make the system more practical.
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