Analytic integrability of some examples of degenerate planar vector fields
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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.
Is part ofActa Applicandae Mathematicae, 2016, vol. 141, p. 1-15
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