Work

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

Year: 2023

Type: article

Abstract: In this paper, we present a class of autonomous non-linear oscillators with non-autonomous first integral. We prove explicitly the existence of a global attractor which is, under some conditions, an algebraic limit cycle. For that class, we draw the possible phase portraits in the Poincaré disk.

Source: Electronic journal of qualitative theory of differential equations

DOI: 10.14232/ejqtde.2023.1.50

Authors: Meryem Belattar, Rachid Cheurfa, Ahmed Bendjeddou, Paulo Santana

Institutions: University Ferhat Abbas of Setif, Instituto de Biociências, Letras e Ciências Exatas, câmpus de São José do Rio Preto, Universidade Estadual Paulista (Unesp)

Language: English

Topic: Advanced Differential Equations and Dynamical Systems

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Fundação de Amparo à Pesquisa do Estado de São Paulo

Award: Ergodic and qualitative theories of dynamical systems II