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

García, I. A. (Isaac A.); Maza Sabido, Susana

doi:https://doi.org/10.14232/ejqtde.2019.1.3

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Issue date

2019-01-14

Author

García, I. A. (Isaac A.)

Maza Sabido, Susana

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.

URI

http://hdl.handle.net/10459.1/65511

DOI

https://doi.org/10.14232/ejqtde.2019.1.3

Is part of

Electronic Journal Of Qualitative Theory Of Differential Equations, 2019, vol. 3, p. 1-6

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Except where otherwise noted, this item's license is described as cc-by (c) García et al., 2019