Spatiotemporal chaos in mixed linear–nonlinear two-dimensional coupled logistic map lattice

• DOI: 10.1016/j.physa.2017.07.019
• Publication Date: 2017-08-24T06:34:44Z
• Authors: Ying-Qian Zhang; Yi He; Xing-Yuan Wang
• Keywords: 0103 physical sciences; 01 natural sciences

Abstract We investigate a new spatiotemporal dynamics with mixing degrees of nonlinear chaotic maps for spatial coupling connections based on 2DCML. Here, the coupling methods are including with linear neighborhood coupling and the nonlinear chaotic map coupling of lattices, and the former 2DCML system is only a special case in the proposed system. In this paper the criteria such Kolmogorov–Sinai entropy density and universality, bifurcation diagrams, space-amplitude and snapshot pattern diagrams are provided in order to investigate the chaotic behaviors of the proposed system. Furthermore, we also investigate the parameter ranges of the proposed system which holds those features in comparisons with those of the 2DCML system and the MLNCML system. Theoretical analysis and computer simulation indicate that the proposed system contains features such as the higher percentage of lattices in chaotic behaviors for most of parameters, less periodic windows in bifurcation diagrams and the larger range of parameters for chaotic behaviors, which is more suitable for cryptography.