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Research Article | Open Access

Exploring complicated behaviors of a delay differential equation

School of Science, Shandong Jianzhu University, Jinan, Shandong 250101, China
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Abstract

Complicated behaviors of a delay differential equation are explored through the Euler discretization method. It rigorously shows that the corresponding discrete equation can be chaotic under some conditions, which reflects that there exist complicated behaviors in the original delay differential equation.

Keywords

chaosdelaysnap-back repeller

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Mathematical Modelling and Control
Volume 3 Issue 1,
March 2023
Pages 1-6
DOI: 10.3934/mmc.2023001

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Li Z. Exploring complicated behaviors of a delay differential equation. Mathematical Modelling and Control, 2023, 3(1): 1-6. https://doi.org/10.3934/mmc.2023001

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Received: 22 October 2022
Revised: 11 December 2022
Accepted: 02 January 2023
Published: 15 March 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)