通过傅立叶变换求解延迟微分方程

arXiv - PHYS - Adaptation and Self-Organizing Systems Pub Date : 2024-01-04 DOI:arxiv-2401.02027

Kenta Ohira, Toru Ohira

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引用次数: 0

摘要

在本研究中，我们介绍并探讨了一种延迟微分方程，该方程适合在傅立叶变换空间中求解。通过对初始函数的精心调整，我们可以构建出该方程的高精度解。这些发现为理解延迟系统开辟了新途径，证明了傅立叶变换技术在捕捉瞬态振荡动力学方面的功效。

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Solving a Delay Differential Equation through Fourier Transform

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.

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arXiv - PHYS - Adaptation and Self-Organizing Systems

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