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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2015

Author

Giné, Jaume

Grau Montaña, Maite

Llibre, Jaume

Suggested citation

Giné, Jaume; Grau Montaña, Maite; Llibre, Jaume; . (2015) . Limit cycles bifurcating from planar polynomial quasi--homogeneous centers. Journal of Differential Equations, 2015, vol. 259, p. 7135-7160. https://doi.org/10.1016/j.jde.2015.08.014.

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

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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