Limit cycles bifurcating from planar polynomial quasi--homogeneous centers

Giné, Jaume; Grau Montaña, Maite; Llibre, Jaume

doi:https://doi.org/10.1016/j.jde.2015.08.014

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Issue date

2015

Author

Giné, Jaume

Grau Montaña, Maite

Llibre, Jaume

Abstract

In this paper we find an upper bound for the maximum number of limit cycles bifurcating from the periodic orbits of any planar polynomial quasi-homogeneous center, which can be obtained using first order averaging method. This result improves the upper bounds given in [7].

URI

http://hdl.handle.net/10459.1/49438

DOI

https://doi.org/10.1016/j.jde.2015.08.014

Is part of

Journal of Differential Equations, 2015, vol. 259, p. 7135-7160

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Except where otherwise noted, this item's license is described as cc-by-nc-nd (c) Elsevier, 2015