A Novel Two-Dimensional Dynamic Pseudo-Random Coupled Map Lattices System Based on Partitioned Elementary Cellular Automata

Abstract

This paper proposes a novel spatiotemporal chaotic system with two-dimensional dynamic pseudo-random coupled map lattices (2D-DPRCML) based on partitioned elementary cellular automata (PECA). In the system iteration, coupling lattices are chosen based on the chaotic PECA, and the iterative results of PECA are also employed as the perturbation for the system. We investigate the system’s chaotic properties, including bifurcation diagrams, Kolmogorov-Sinai entropy density and universality. In addition, the output sequences were analyzed for uniformity and randomness. The correlations between the system lattices are also explored. The simulation results and theoretical analysis demonstrate that the 2D-DPRCML system possesses excellent chaotic performance, and the output sequences show good uniformity and randomness, indicating that the 2D-DPRCML system is capable of resisting the return maps attack. It is evident from all these advantages that the proposed system is ideal for use in cryptography.