García Isaac A. and Maza Susanna: Period annulus of the harmonic oscillator with zero cyclicity under perturbations with a homogeneous polynomial field. (2019)
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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: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2019 |
| Number: | 3 |
| ISSN: | 1417-3875 |
| Page Range: | pp. 1-6 |
| DOI: | 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: | 2021. Sep. 16. 10:42 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/58114 |
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