Abstract
In this paper we study the cyclicity of the centers of the quartic polynomial family written in complex notation as
where \({A,B,C \in \mathbb{C}}\). We give an upper bound for the cyclicity of any nonlinear center at the origin when we perturb it inside this family. Moreover we prove that this upper bound is sharp.
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García, I.A., Llibre, J. & Maza, S. Center cyclicity of a family of quartic polynomial differential system. Nonlinear Differ. Equ. Appl. 23, 34 (2016). https://doi.org/10.1007/s00030-016-0388-8
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DOI: https://doi.org/10.1007/s00030-016-0388-8