Periodic Solutions in a Simple Delay Differential Equation

Autor:	Anatoli Ivanov, Sergiy Shelyag
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	delay differential equations periodic negative feedback slowly oscillating solutions periodic solutions piecewise constant nonlinearities explicit piecewise affine solutions Applied mathematics. Quantitative methods T57-57.97 Mathematics QA1-939 Electronic computers. Computer science QA75.5-76.95
Zdroj:	Mathematical and Computational Applications, Vol 29, Iss 3, p 36 (2024)
Druh dokumentu:	article
ISSN:	2297-8747 1300-686X
DOI:	10.3390/mca29030036
Popis:	A simple-form scalar differential equation with delay and nonlinear negative periodic feedback is considered. The existence of several types of slowly oscillating periodic solutions is shown with the same and double periods of the feedback coefficient. The periodic solutions are built explicitly in the case with piecewise constant nonlinearities involved. The periodic dynamics are shown to persist under small perturbations of the equation, which make it smooth. The theoretical results are verified through extensive numerical simulations.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/c91640320006453e9c9e8fddba650122 Zobrazit plný text záznamu View record in DOAJ