Author:
Yu Yadan,Liang Wei,Jing Taiyan
Abstract
AbstractThis paper investigates a globally coupled map lattice. Rigorous proofs to the existence of chaos in the sense of both Li–Yorke and Devaney in two controlled globally coupled map lattices are presented. In addition, the existence of Li–Yorke chaos and Devaney chaos for a general discrete dynamical system in ${\mathbf {R}}^{N}$
R
N
and $l^{\infty}$
l
∞
is considered. For illustration, two examples are provided.
Funder
Foundation of Henan Educational Committee
Henan Polytechnic University
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis