Xiaofang Yang, Tianxiu Lu, Yongxi Jiang, Chaotic properties of a class of coupled mapping lattices in non-autonomous discrete dynamical systems, Vol. 2021 (2021), Article ID 38, pp. 1-12

Full Text: PDF
DOI: 10.23952/jnfa.2021.38

Received August 14, 2021; Accepted November 15, 2021; Published December 7, 2021

Abstract. This paper discusses the chaotic characteristics of coupled mapping lattices (CMLs). Unlike the discussions of CMLs in autonomous discrete dynamical systems, this paper considers the non-autonomous case. The relationship between the original map sequence and the coupled system in $(\mathcal{F}_1, \mathcal{F}_2)$ -chaos (or sensitivity, spatio-temporal chaos, densely chaos, transitivity, accessibility, exact, Ruelle-Takens chaos, and Kato chaos) is studied.

How to Cite this Article:
Xiaofang Yang, Tianxiu Lu, Yongxi Jiang, Chaotic properties of a class of coupled mapping lattices in non-autonomous discrete dynamical systems, Journal of Nonlinear Functional Analysis, Vol. 2021 (2021), Article ID 38, pp. 1-12.