Abstract
The performance of most chaotic systems is dependent on the selection of parameters, and an incorrect selection can lead to a significant reduction in the complexity and safety of chaotic systems or to chaotic degeneracy. In this paper, we investigate an Exponential Cyclic Coupling Chaotic Model (ECCCM) that maintains excellent and stable chaotic dynamics across a wide range of parameters. We use the Exponential Coupled Logistic Model (ECLM) as an example to design a new fast image encryption algorithm that treats the image as a three-dimensional matrix and simultaneously changes the positions and values of its pixels. Our proposed encryption algorithm has been verified through various experiments to be highly secure and competitive with other state-of-the-art algorithms.
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