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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.02027 |
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| _version_ | 1866913608580988928 |
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| author | Ohira, Kenta Ohira, Toru |
| author_facet | Ohira, Kenta Ohira, Toru |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_02027 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Solving a Delay Differential Equation through Fourier Transform Ohira, Kenta Ohira, Toru Adaptation and Self-Organizing Systems 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. |
| title | Solving a Delay Differential Equation through Fourier Transform |
| topic | Adaptation and Self-Organizing Systems |
| url | https://arxiv.org/abs/2401.02027 |