Abstract
In this paper we find necessary and sufficient conditions in order that a planar homogeneous polynomial differential system has a polynomial or rational first integral. We apply these conditions to linear and quadratic homogeneous polynomial differential systems.
Citation
Jaume Giné. Maite Grau. Jaume Llibre. "Polynomial and rational first integrals for planar homogeneous polynomial differential systems." Publ. Mat. 58 (S1) 255 - 278, 2014.
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