A class of nonlinear oscillators with non-autonomous first integrals and algebraic limit cycles

Autor: Meryem Belattar, Rachid Cheurfa, Ahmed Bendjeddou, Paulo Santana
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2023, Iss 50, Pp 1-13 (2023)
Druh dokumentu: article
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2023.1.50
Popis: In this paper, we present a class of autonomous nonlinear oscillators with non-autonomous first integral. We prove explicitly the existence of a global sink which is, under some conditions, an algebraic limit cycle. For that class, we draw the possible phase portraits in the Poincaré disk.
Databáze: Directory of Open Access Journals