A Novel Method to Improve the Dynamical Degradation of Digital Chaotic Systems

when chaotic systems are implemented on the finite precision devices, some dynamical properties will disappear and lead to the problem of dynamical degradation. In this paper, based on the external anti-control theory, a novel compensatory method is proposed for improving the dynamical degradation. A continuous chaotic system is introduced to compensate the digital chaotic system with proper control function. Simulation results are given to show the validity of the proposed method. Furthermore, we propose a new pseudorandom number generator (PRNG) based on the controlled digital system. Statistical test results show that the proposed PRNG has good randomness, uniformity and complexity, thus it can be used for cryptography and other potential applications.