A novel control method to counteract the dynamical degradation of a digital chaotic sequence

Due to the finite computing precision, all orbits of a digital chaotic system fall into a cycle when this system is realized on digital computers and digital signal processors. To counteract this degradation, a dynamical perturbation-feedback mixed control (DPFMC) method is proposed by using a novel pseudorandom sequence. We choose a ciphertext sequence as the pseudorandom sequence, and it is used to perturb the digital chaotic system, while it also acts as the coefficient of the dynamical feedback control scheme. The simulation and analysis results show that the proposed method has better dynamical characteristics than traditional methods. Furthermore, we construct a new pseudorandom number generator (PRNG) and determine that it has good randomness. Thus the proposed method can be applied to cryptography and other potential applications.