Exploring complicated behaviors of a delay differential equation

Zongcheng Li; Zongcheng Li

doi:10.3934/mmc.2023001

Mathematical Modelling and Control

2023, Volume 3, Issue 1: 1-6. doi: 10.3934/mmc.2023001

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Exploring complicated behaviors of a delay differential equation

Zongcheng Li ^,

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

Received: 22 October 2022 Revised: 11 December 2022 Accepted: 02 January 2023 Published: 14 February 2023

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.
- chaos,
- delay,
- snap-back repeller
Citation: Zongcheng Li. Exploring complicated behaviors of a delay differential equation[J]. Mathematical Modelling and Control, 2023, 3(1): 1-6. doi: 10.3934/mmc.2023001

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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.

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