Nilpotent centres via inverse integrating factors
Data de publicació2016-10
MetadadesMostra el registre d'unitat complet
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 considered as the formal inverse integrating factors. However the existence of a formal inverse integrating factor is not sufficient to describe all the nilpotent centers. For the family studied in this paper it is enough.
És part deEuropean Journal of Applied Mathematics, 2016, vol. 27, num. 5, p. 781-795
Projectes de recerca europeus
Mostrant elements relacionats per títol, autor i matèria.
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 ...
Giné, Jaume; Algaba, Antonio; García, Cristóbal (Hindawi Publishing Corporation, 2013)We study the analytic integrability problem through the formal integrability problem and we show its connection, in some cases, with the existence of invariant analytic (sometimes algebraic) curves. From the results ...
Algaba, Antonio; García, Cristóbal; Giné, Jaume (Elsevier, 2019)In this work it is characterized the analytic integrability problem around a nilpotent singularity of a differential system in the plane under generic conditions.