Existence of Chaos in the Nearest Neighbors Coupled
Map Lattices

Yadan Yu

doi:https://doi.org/10.14445/22315373/IJMTT-V68I6P519

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 68 | Issue 6 | Year 2022 | Article Id. IJMTT-V68I6P519 | DOI : https://doi.org/10.14445/22315373/IJMTT-V68I6P519

Existence of Chaos in the Nearest Neighbors Coupled Map Lattices

Yadan Yu

Received	Revised	Accepted	Published
06 May 2022	15 Jun 2022	22 Jun 2022	02 Jul 2022

Abstract

This paper studies the existence of chaos in a class of Nearest Neighbor Coupled Mapping Lattice (NNCML). Prove that NNCML is chaotic in the sense of Li-Yorke or both Li-Yorke and Devaney by employing the coupled-expanding theory. At the end, two illustrative examples are provided.

Keywords

Chaos, Coupled-expansion theory, Coupled map lattice.

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Citation :

Yadan Yu, "Existence of Chaos in the Nearest Neighbors Coupled Map Lattices," International Journal of Mathematics Trends and Technology (IJMTT), vol. 68, no. 6, pp. 156-162, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I6P519