Period annulus of the harmonic oscillator with zero cyclicity under perturbations with a homogeneous polynomial field
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DOI: 10.14232/ejqtde.2019.1.3
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… read more here.
Keywords: period annulus; homogeneous polynomial; harmonic oscillator; annulus harmonic ... See more keywords