An image encryption algorithm based on Baker map with varying parameter

Because of the excellent properties, such as unpredictability, randomness, aperiodicity, sensitive dependence on initial conditions and parameters, chaotic systems become popular in security applications. However, for a fixed chaotic system, with the development of chaos theory, the chaotic orbits may be estimated and their parameters or initial values may be predicted. In this paper, we introduce a parameter-varying Baker map (PVBM), whose output signal is non-stationary. The varying parameters disrupt the phase space of the system, which can resist the phase space reconstruction attacks and chaotic signal estimation technologies effectively. To investigate its applications, we propose a new image encryption algorithm, which is combined with chaotic shuffling and chaotic substitution. Simulation results demonstrate the proposed algorithm have high security as well as to resist various attacks.