Analytic integrability of some examples of degenerate planar vector fields

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2016
Author
Algaba, Antonio
García, Cristóbal
Giné, Jaume
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Algaba, Antonio; García, Cristóbal; Giné, Jaume; . (2016) . Analytic integrability of some examples of degenerate planar vector fields. Acta Applicandae Mathematicae, 2016, vol. 141, p. 1-15. https://doi.org/10.1007/s10440-014-0001-2.
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Abstract
This paper is devoted to the classification of analytic integrable cases of two families of degenerate planar vector fields with a monodromic singular point at the origin. This study falls in the still open degenerate center problem. This classification can be done using the formal normal form theory and knowing a suitable normal form of any differential systems associated to each family.
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http://hdl.handle.net/10459.1/58355
DOI
https://doi.org/10.1007/s10440-014-0001-2
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Acta Applicandae Mathematicae, 2016, vol. 141, p. 1-15
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