Construction of a Class of High-Dimensional Discrete Chaotic Systems

Hongyan Zang, Jianying Liu and Jiu Li
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Hongyan Zang: Mathematics and Physics School, University of Science and Technology Beijing, Beijing 100083, China
Jianying Liu: Mathematics and Physics School, University of Science and Technology Beijing, Beijing 100083, China
Jiu Li: Mathematics and Physics School, University of Science and Technology Beijing, Beijing 100083, China

Mathematics, 2021, vol. 9, issue 4, 1-20

Abstract: In this paper, a class of n-dimensional discrete chaotic systems with modular operations is studied. Sufficient conditions for transforming this kind of discrete mapping into a chaotic mapping are given, and they are proven by the Marotto theorem. Furthermore, several special systems satisfying the criterion are given, the basic dynamic properties of the solution, such as the trace diagram and Lyapunov exponent spectrum, are analyzed, and the correctness of the chaos criterion is verified by numerical simulations.

Keywords: chaotic system; Marotto theorem; snap-back repeller (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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