Construction of a Class of High-Dimensional Discrete Chaotic Systems

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...

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Bibliographic Details
Published in:Mathematics (Basel) 2021-02, Vol.9 (4), p.365
Main Authors: Zang, Hongyan, Liu, Jianying, Li, Jiu
Format: Article
Language:English
Subjects:
chaotic system
Marotto theorem
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Summary: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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math9040365