Analytic integrability around a nilpotent singularity
MetadataShow full item record
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
European research projects
The following license files are associated with this item:
Showing items related by title, author, creator and subject.
Algaba, Antonio; García, Cristóbal; Giné, Jaume (Springer, 2021)In this work, we present a new technique for solving the center problem for nilpotent singularities which consists of determining a new normal form conveniently adapted to study the center problem for this singularity. In ...
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 ...