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The Center Problem for a Linear Center Perturbed by Homogeneous Polynomials

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Abstract

The centers of the polynomial differential systems with a linear center perturbed by homogeneous polynomials have been studied for the degrees s = 2, 3, 4, 5. They are completely classified for s = 2, 3, and partially classified for s = 4, 5. In this paper we recall these results for s = 2, 3, 4, 5, and we give new centers for s = 6, 7

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Correspondence to Jaume Giné.

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The author is partially supported by a DGICYT grant number BFM 2002-04236-C02-01 and by DURSI of Government of Catalonia "Distinció de la Generalitat de Catalunya per a la promoció de la recerca universitària".

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Giné, J. The Center Problem for a Linear Center Perturbed by Homogeneous Polynomials. Acta Math Sinica 22, 1613–1620 (2006). https://doi.org/10.1007/s10114-005-0623-4

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