Liouvillian first integrals for quadratic systems with an integrable saddle

Yudy Bolaños; Jaume Llibre; Claudia Valls

doi:10.1216/RMJ-2015-45-6-1765

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Home > Journals > Rocky Mountain J. Math. > Volume 45 > Issue 6 > Article

2015 Liouvillian first integrals for quadratic systems with an integrable saddle

Yudy Bolaños, Jaume Llibre, Claudia Valls

Rocky Mountain J. Math. 45(6): 1765-1779 (2015). DOI: 10.1216/RMJ-2015-45-6-1765

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Abstract

We provide explicit expressions for the Liouvillian first integrals of the quadratic polynomial differential systems having an integrable saddle.

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Yudy Bolaños. Jaume Llibre. Claudia Valls. "Liouvillian first integrals for quadratic systems with an integrable saddle." Rocky Mountain J. Math. 45 (6) 1765 - 1779, 2015. https://doi.org/10.1216/RMJ-2015-45-6-1765

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Published: 2015

First available in Project Euclid: 14 March 2016

zbMATH: 1383.34002

MathSciNet: MR3473153

Digital Object Identifier: 10.1216/RMJ-2015-45-6-1765

Subjects:

Primary: 34A34 , 34C05 , 34C14

Keywords: integrable saddle , integrating factor , inverse integrating factor , Liouvillian first integral , Quadratic systems

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Vol.45 • No. 6 • 2015

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Yudy Bolaños, Jaume Llibre, Claudia Valls "Liouvillian first integrals for quadratic systems with an integrable saddle," Rocky Mountain Journal of Mathematics, Rocky Mountain J. Math. 45(6), 1765-1779, (2015)

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