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Singerian first integrals

Speaker(s)
Henryk Żołądek
Affiliation
Uniwersytet Warszawski
Date
April 15, 2016, 10:15 a.m.
Room
room 5840
Seminar
Seminar of Dynamical Systems Group

M. Singer has shown that a polynomial plane vector field which has a first integral of Liouville type admits an integrating factor of Darboux type. We show that such integral can be represented as a sum of a Darbouxian summand and of a finite number of line integrals of Schwarz-Christoffel type.