A novel method of constructing high-dimensional digital chaotic systems on finite-state automata

doi:10.1088/1674-1056/aba60f

Abstract 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.

Keywords: high-dimensional digital chaotic system dynamical degradation anti-control pseudorandom number generator

Received: 18 May 2020
Revised: 07 July 2020
Accepted manuscript online: 15 July 2020

PACS:	05.40.-a	(Fluctuation phenomena, random processes, noise, and Brownian motion)
	05.45.Gg	(Control of chaos, applications of chaos)
	05.45.Jn	(High-dimensional chaos)
	05.45.Vx	(Communication using chaos)

Fund: Project supported by the National Key R&D Program of China (Grant No. 2017YFB0802000) and the Cryptography Theoretical Research of National Cryptography Development Fund, China (Grant No. MMJJ20170109).

Corresponding Authors: Han-Ping Hu
E-mail: husthhh@qq.com

Cite this article:

Jun Zheng(郑俊), Han-Ping Hu(胡汉平) A novel method of constructing high-dimensional digital chaotic systems on finite-state automata 2020 Chin. Phys. B 29 090502

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A novel method of constructing high-dimensional digital chaotic systems on finite-state automata

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