Period annulus of the harmonic oscillator with zero cyclicity under perturbations with a homogeneous polynomial field

García, Isaac A. and Maza, Susanna: Period annulus of the harmonic oscillator with zero cyclicity under perturbations with a homogeneous polynomial field. In: Electronic journal of qualitative theory of differential equations 3. pp. 1-6. (2019)

[img]
Preview
Cikk, tanulmány, mű
ejqtde_2019_003.pdf

Download (344kB) | Preview

Abstract

In this work we prove, using averaging theory at any order in the small perturbation parameter, that the period annulus of the harmonic oscillator has cyclicity zero (no limit cycles bifurcate) when it is perturbed by any fixed homogeneous polynomial field.

Item Type: Article
Journal or Publication Title: Electronic journal of qualitative theory of differential equations
Date: 2019
Number: 3
ISSN: 1417-3875
Page Range: pp. 1-6
DOI: https://doi.org/10.14232/ejqtde.2019.1.3
Uncontrolled Keywords: Oszcillátorok, Perturbáció
Additional Information: Bibliogr.: p. 5-6. ; összefoglalás angol nyelven
Date Deposited: 2019. May. 31. 07:23
Last Modified: 2019. May. 31. 07:23
URI: http://acta.bibl.u-szeged.hu/id/eprint/58114

Actions (login required)

View Item View Item