arXiv Open Access 2024

Explicit Periodic Solutions in a Delay Differential Equation

Anatoli Ivanov Sergiy Shelyag

Lihat Sumber

Abstrak

We construct stable periodic solutions for a simple form nonlinear delay differential equation (DDE) with a periodic coefficient. The equation involves one underlying nonlinearity with the multiplicative periodic coefficient. The well-known idea of reduction to interval maps is used in the case under consideration, when both the defining nonlinearity and the periodic coefficient are piece-wise constant functions. The stable periodic dynamics persist under a smoothing procedure in a small neighborhood of the discontinuity set. This work continues the research in recent paper [7] on stable periodic solutions of differential delay equations with periodic coefficients.

Topik & Kata Kunci

math.DS

Penulis (2)

Anatoli Ivanov

Sergiy Shelyag

Format Sitasi

APA MLA BibTeX

Ivanov, A., Shelyag, S. (2024). Explicit Periodic Solutions in a Delay Differential Equation. https://arxiv.org/abs/2402.08197

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Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓