Limit cycles bifurcating from planar polynomial quasi--homogeneous centers

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2015Suggested 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.
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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].
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Journal of Differential Equations, 2015, vol. 259, p. 7135-7160European research projects
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