A new two-dimensional sine-coupled-logistic map and its application in image encryption

Chaotic map has some important features such as unpredictability, ergodicity, and complexity. When chaotic map is widely used for information transmission and secure communication, its chaotic performance decides the security of encryption algorithm. For the purpose of improving the chaotic performance, we put forward a novel two-dimensional Sine-coupled-Logistic map (2D-SCLM) in this paper. By comparing with other 2D chaotic maps, 2D-SCLM has more excellent pseudo-random characteristics, unpredictability, and wider range of chaos. For the purpose of studying its application, we put forward an image encryption approach based on 2D-SCLM (SCLM-IEA). Firstly, a flag shape scrambling algorithm is designed to alter the pixel location of the image. Secondly, a cross transform algorithm is developed, the process of scrambling and diffusion is executed simultaneously. Finally, the entire image is processed by a supernumerary diffusion. Simulation experiments and performance analysis signify that SCLM-IEA has more excellent security standard than some algorithms.