Integrated chaotic systems for image encryption

To improve the randomicity behaviors of some existing chaotic maps, this paper proposes two integrated chaotic systems (ICS), which conduct cascade, nonlinear combination, and switch operations to three basic 1D chaotic maps to generate new structures. The developed systems are able to yield several more complicated chaotic maps. Compared with several existing maps, the newly-generated ones have more advanced properties, including wider chaotic ranges, and more complex chaotic behaviors. To demonstrate the effectiveness of ICS, we also design an image encryption scheme based on ICS. Simulation results on different types of images and extensive security analysis demonstrate that the proposed approach has satisfactory properties in image encryption.