Solving a Delay Differential Equation through Fourier Transform
Adaptation and Self-Organizing Systems
2024-12-13 v3
Abstract
In this study, we introduce and explore a delay differential equation that lends itself to explicit solutions in the Fourier-transformed space. Through the careful alignment of the initial function, we can construct a highly accurate solution to the equation. These findings open new avenues for understanding delay systems, demonstrating the efficacy of Fourier transform techniques in capturing transient oscillatory dynamics.
Cite
@article{arxiv.2401.02027,
title = {Solving a Delay Differential Equation through Fourier Transform},
author = {Kenta Ohira and Toru Ohira},
journal= {arXiv preprint arXiv:2401.02027},
year = {2024}
}
Comments
submitted for publication, 9pages 3 figures. Ver2: added a paragraph at the end of Sec.2 and aknowledgements; Ver 3: Updated texts and figures, and added references