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2016 Polynomial first integrals for weight-homogeneous planar polynomial differential systems of weight degree~$4$
Jaume Llibre, Claudia Valls
Rocky Mountain J. Math. 46(5): 1619-1642 (2016). DOI: 10.1216/RMJ-2016-46-5-1619

Abstract

We classify all of the weight-homogeneous planar polynomial differential systems of weight degree~$4$ having a polynomial first integral.

Citation

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Jaume Llibre. Claudia Valls. "Polynomial first integrals for weight-homogeneous planar polynomial differential systems of weight degree~$4$." Rocky Mountain J. Math. 46 (5) 1619 - 1642, 2016. https://doi.org/10.1216/RMJ-2016-46-5-1619

Information

Published: 2016
First available in Project Euclid: 7 December 2016

zbMATH: 1124.34015
MathSciNet: MR3580803
Digital Object Identifier: 10.1216/RMJ-2016-46-5-1619

Subjects:
Primary: 34A05 , 34A34 , 34C14

Keywords: Polynomial first integrals , weight-homogeneous polynomial differential systems

Rights: Copyright © 2016 Rocky Mountain Mathematics Consortium

Vol.46 • No. 5 • 2016
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