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QPT2024
Algebraic integrability of nilpotent planar vector fields
Algaba A.
García C.
Reyes M.
Chaos, Solitons and Fractals
Doi 10.1016/j.chaos.2021.110765
Volumen 145
2021-04-01
Citas: 0
Abstract
© 2021 Elsevier LtdWe 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.
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