Delay differential equations with periodic coefficients: a numerical insight

TL;DR

This paper investigates scalar delay differential equations with periodic coefficients, demonstrating numerically that slowly oscillating periodic solutions exist within certain period ranges, providing insights into their behavior.

Contribution

It offers a numerical analysis of the existence of periodic solutions in delay differential equations with periodic feedback, highlighting conditions for their emergence.

Findings

Existence of slowly oscillating periodic solutions confirmed numerically.

Solutions share the same period as the feedback coefficient.

Results apply within an admissible range for periods.

Abstract

Simple form scalar differential equation with delay and non-linear negative periodic feedback is considered. The existence of slowly oscillating periodic solutions with the same period as the feedback coefficient is shown numerically within the admissible range for the periods.