Analytic integrability around a nilpotent singularity
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In this work it is characterized the analytic integrability problem around a nilpotent singularity of a differential system in the plane under generic conditions.
Is part ofJournal of Differential Equations, 2019, vol. 267, núm. 1, p. 443-467
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Integrability of planar nilpotent differential systems through the existence of an inverse integrating factor Algaba, Antonio; García, Cristóbal; Giné, Jaume (Elsevier, 2019)In this work is characterized the analytic integrability problem around a nilpotent singularity for differential systems in the plane under generic conditions. The analytic integrability problem is characterized via the ...
Algaba, Antonio; García, Cristóbal; Giné, Jaume (Cambridge University Press, 2016-10)In this paper we are interested in the nilpotent center problem of planar analytic monodromic vector fields. It is known that the formal integrability is not enough to characterize such centers. More general objects are ...
Algaba, Antonio; García, Cristóbal; Giné, Jaume (Springer, 2016)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 ...