2D Logistic-Sine-coupling map for image encryption

•We present a two-dimensional (2D) Logistic-Sine-coupling map (2D-LSCM). Performance estimations demonstrate that it has better ergodicity, more complex chaotic behavior and larger chaotic range than several newly developed 2D chaotic maps.•Using 2D-LSCM, we further propose a 2D-LSCM-based image encryption algorithm (LSCM-IEA).•A novel permutation algorithm is designed to fast permutate image pixels while a diffusion algorithm is developed to spread little change of plain-image to the whole encrypted result.•Security analysis demonstrates that LSCM-IEA has a high security level and can outperform several advanced image encryption algorithms.