Algebraic integrability of nilpotent planar vector fields

A. Algaba, C. García and M. Reyes

Chaos, Solitons & Fractals, 2021, vol. 145, issue C

Abstract: We characterize, using normal forms of quasi-homogeneous expansions, the analytic vector fields at nilpotent singular point having an algebraic first integral over the ring C[[x,y]]. As a consequence, we provide a link between the algebraic integrability problem and the existence of a formal inverse integrating factor which is null at the singular point.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:145:y:2021:i:c:s096007792100117x

DOI: 10.1016/j.chaos.2021.110765

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