Abstract
Coupled Map Lattice (CML) usually serves as a pseudo-random number generator for encrypting digital images. Based on our analysis, the existing CML-based systems still suffer from problems like limited parameter space and local chaotic behavior. In this paper, we propose a novel intermittent jumping CML system based on multiple chaotic maps. The intermittent jumping mechanism seeks to incorporate the multi-chaos, and to dynamically switch coupling states and coupling relations, varying with spatiotemporal indices. Extensive numerical simulations and comparative studies demonstrate that, compared with the existing CML-based systems, the proposed system has a larger parameter space, better chaotic behavior, and comparable computational complexity. These results highlight the potential of our proposal for deployment into an image cryptosystem.
Highlights
In 1985, Kaneko [1,2,3,4,5] formally proposed the Coupled Map Lattice (CML) consisting of discrete time steps, discrete spatial positions, and continuous state variables, and deeply investigated its chaotic behavior
Our work studies the chaotic behaviors and nonlinear phenomena induced by the intermittent jumping mechanism, and observes the spatiotemporal chaos of the Intermittent Jumping Coupled Map Lattice (IJCML) system from the following perspectives: diffusion energy analysis, power spectrum analysis, equilibrium degree analysis, information entropy analysis, inter-lattice independence analysis, Lyapunov exponent analysis, bifurcation diagram analysis, spatiotemporal behavior analysis, and computational complexity analysis
We propose a novel Intermittent Jumping Coupled Map Lattice (IJCML), in which the pseudo-random information generated from the Logistic map, Sine map, and Chebyshev map will be integrated together in a dynamical manner
Summary
In 1985, Kaneko [1,2,3,4,5] formally proposed the Coupled Map Lattice (CML) consisting of discrete time steps, discrete spatial positions, and continuous state variables, and deeply investigated its chaotic behavior. Our work studies the chaotic behaviors and nonlinear phenomena induced by the intermittent jumping mechanism, and observes the spatiotemporal chaos of the IJCML system from the following perspectives: diffusion energy analysis, power spectrum analysis, equilibrium degree analysis, information entropy analysis, inter-lattice independence analysis, Lyapunov exponent analysis, bifurcation diagram analysis, spatiotemporal behavior analysis, and computational complexity analysis Note that these perspectives are widely chosen by [7,8,9,10,11,13,14,16,17,22,23,24] for analyzing a dynamical system. Sci. 2021, 11, 3797 existing ones [1,7,13,14] in terms of the aforementioned analyses, and highlight the potential for deployment into a practical image cryptosystem
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