Analytic Integrability of Some Examples of Degenerate Planar Vector Fields
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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.
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.
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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Algaba, A., García, C., & Giné, J. (2014). Analytic Integrability of Some Examples of Degenerate Planar Vector Fields. In Acta Applicandae Mathematicae (Vol. 141, Issue 1, pp. 1–15). Springer Science and Business Media LLC. https://doi.org/10.1007/s10440-014-0001-2
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