Periodic Solutions in Slowly Varying Discontinuous Differential Equations: The Generic Case

Autor:	Michal Fečkan, Flaviano Battelli
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	Non singular General Mathematics Mathematical analysis discontinuous differential equations periodic solutions persistence Discontinuous differential equations Computer Science (miscellaneous) QA1-939 Persistence (discontinuity) Engineering (miscellaneous) Hamiltonian (control theory) Mathematics
Zdroj:	Mathematics, Vol 9, Iss 2449, p 2449 (2021) Mathematics Volume 9 Issue 19
ISSN:	2227-7390
Popis:	We study persistence of periodic solutions of perturbed slowly varying discontinuous differential equations assuming that the unperturbed (frozen) equation has a non singular periodic solution. The results of this paper are motivated by a result of Holmes and Wiggins where the authors considered a two dimensional Hamiltonian family of smooth systems depending on a scalar variable which is the solution of a singularly perturbed equation.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::358de3fc4c3bfb1f6d9a9988f30fd824 https://www.mdpi.com/2227-7390/9/19/2449 Zobrazit plný text záznamu