Integrability of planar nilpotent differential systems through the existence of an inverse integrating factor
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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 existence of a formal inverse integrating factor. The relation between the analytic integrability and the existence of an algebraic inverse integrating factor is also given.
Is part ofCommunications in Nonlinear Science and Numerical Simulation, 2019, vol. 71, p. 130-140
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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.
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 ...
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 ...