Advanced search
Start date
Betweenand


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

Full text
Author(s):
Belattar, Meryem ; Cheurfa, Rachid ; Bendjeddou, Ahmed ; Santana, Paulo
Total Authors: 4
Document type: Journal article
Source: Electronic Journal of Qualitative Theory of Differential Equations; v. N/A, n. 50, p. 13-pg., 2023-01-01.
Abstract

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 Poincare disk. (AU)

FAPESP's process: 21/01799-9 - The study of vector fields with applications at game theory
Grantee:Paulo Henrique Reis Santana
Support Opportunities: Scholarships in Brazil - Doctorate
FAPESP's process: 19/10269-3 - Ergodic and qualitative theories of dynamical systems II
Grantee:Claudio Aguinaldo Buzzi
Support Opportunities: Research Projects - Thematic Grants