摘要
When chaotic systems are implemented on finite precision machines, it will lead to the problem of dynamical degradation. Aiming at this problem, most previous related works have been proposed to improve the dynamical degradation of low-dimensional chaotic maps. This paper presents a novel method to construct high-dimensional digital chaotic systems in the domain of finite computing precision. The model is proposed by coupling a high-dimensional digital system with a continuous chaotic system. A rigorous proof is given that the controlled digital system is chaotic in the sense of Devaney's definition of chaos. Numerical experimental results for different high-dimensional digital systems indicate that the proposed method can overcome the degradation problem and construct high-dimensional digital chaos with complicated dynamical properties. Based on the construction method, a kind of pseudorandom number generator (PRNG) is also proposed as an application.
作者
Jun Zheng
Han-Ping Hu
郑俊;胡汉平(School of Artificial Intelligence and Automation,Huazhong University of Science and Technology,Wuhan 430074,China;Key Laboratory of Image Information Processing and Intelligent Control,Ministry of Education,Wuhan 430074,China)
基金
Project supported by the National Key R&D Program of China(Grant No.2017YFB0802000)
the Cryptography Theoretical Research of National Cryptography Development Fund,China(Grant No.MMJJ20170109).
