Abstract
We study the Liouvillian first integrals for the generalized Liénard polynomial differential systems of the form xʹ = y, yʹ = -g(x) - f(x)y, where g(x) and f(x) are arbitrary polynomials such that 2 ≤ deg g ≤ deg f.
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Advanced Nonlinear Studies
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Liouvillian First Integrals for Generalized Liénard Polynomial Differential Systems
Jaume Llibre / Clàudia Valls
Published Online: 2016-03-10 | DOI: https://doi.org/10.1515/ans-2013-0404
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Get Access to Full TextKeywords: Darboux polynomial; exponential factor; Liouvillian first integral; generalized Liénard polynomial differential system
About the article
Published Online: 2016-03-10
Published in Print: 2013-11-01
Citation Information: Advanced Nonlinear Studies, Volume 13, Issue 4, Pages 825–835, ISSN (Online) 2169-0375, ISSN (Print) 1536-1365, DOI: https://doi.org/10.1515/ans-2013-0404.
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