Persistence of periodic orbits with sliding or sewing by singular perturbation

Autor:	Paulo Ricardo da Silva, Pedro Toniol Cardin, Jaime R. de Moraes
Rok vydání:	2015
Předmět:	Singular perturbation Phase portrait Applied Mathematics Regularization (physics) Mathematical analysis Piecewise Periodic orbits Analysis Mathematics
Zdroj:	Journal of Mathematical Analysis and Applications. 423:1166-1182
ISSN:	0022-247X
DOI:	10.1016/j.jmaa.2014.10.023
Popis:	In this paper we deal with piecewise smooth singularly perturbed systems. We study the effect of singular perturbation when the phase portrait of the reduced problem has periodic orbits with sliding or sewing points. Counter-examples are used to show that in general, only one parameter is not sufficient to ensure the persistence of periodic orbits. With an additional parameter, derived from the Sotomayor–Teixeira regularization, we get conditions which guarantee the persistence.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::9f022abf30ebbb14fcffcf5e3ceeff6d https://doi.org/10.1016/j.jmaa.2014.10.023 Zobrazit plný text záznamu Full Text from ScienceDirect