Existence of chaos for partial difference equations via tangent and cotangent functions

Advances in Difference Equations

article

Guo, Haihong¹  Liang, Wei¹ 

[1] School of Mathematics and Information Science, Henan Polytechnic University

关键词: Chaos;    Partial difference equation;    Li–Yorke chaos;    Devaney chaos;   

DOI  :  10.1186/s13662-020-03162-2

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

This paper is concerned with the existence of chaos for a type of partial difference equations. We establish four chaotification schemes for partial difference equations with tangent and cotangent functions, in which the systems are shown to be chaotic in the sense of Li–Yorke or of both Li–Yorke and Devaney. For illustration, we provide three examples are provided.

【 授权许可】

CC BY