Periodic Solutions in a Simple Delay Differential Equation-Reference-Cited by-同舟云学术

Periodic Solutions in a Simple Delay Differential Equation

Published:2024-05-12 Issue:3 Volume:29 Page:36
ISSN:2297-8747
Container-title:Mathematical and Computational Applications
language:en
Short-container-title:MCA

Author:

Ivanov Anatoli¹^ORCID,Shelyag Sergiy²^ORCID

Affiliation:

1. Department of Mathematics, Pennsylvania State University, Dallas, PA 18612, USA

2. College of Science and Engineering, Flinders University, Tonsley, Adelaide, SA 5042, Australia

Abstract

A simple-form scalar differential equation with delay and nonlinear negative periodic feedback is considered. The existence of several types of slowly oscillating periodic solutions is shown with the same and double periods of the feedback coefficient. The periodic solutions are built explicitly in the case with piecewise constant nonlinearities involved. The periodic dynamics are shown to persist under small perturbations of the equation, which make it smooth. The theoretical results are verified through extensive numerical simulations.

Funder

MATRIX institute

Flinders University

Pennsylvania State University

Simons Foundation

Publisher

MDPI AG

Link

https://www.mdpi.com/2297-8747/29/3/36/pdf

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