Spatiotemporal chaos in multiple dynamically coupled map lattices and its application in a novel image encryption algorithm

Abstract

Spatiotemporal chaotic systems are widely used for image encryption due to their better chaos, more chaotic sequences and more complex dynamic behavior. This paper proposes a new spatiotemporal chaotic system named Multiple dynamically coupled map lattices (MDCML). The proposed system introduces dynamic coupling parameter, which enhances ergodicity and improves pseudo-randomness and chaos of the system. According to the analysis of Kolmogorov-Sinai entropy, bifurcation diagram and information entropy, it can be proved that the chaotic state of all lattices of the proposed system is very stable. By applying the proposed system, we design a new image encryption algorithm. The proposed algorithm introduces the random-based diffusion strategy, which can greatly reduce the correlation between adjacent pixels. Finally, a large number of experimental results show that our proposed algorithm has high security to resist common attacks and is suitable for image encryption.