https://doi.org/10.1140/epjp/i2019-12374-y
Regular Article
A novel control method to counteract the dynamical degradation of a digital chaotic sequence
School of Physics and Electronics, Central South University, 410083, Changsha, China
* e-mail: kehui@csu.edu.cn
Received:
30
September
2018
Accepted:
5
November
2018
Published online:
18
January
2019
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.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2019
