Liouvillian first integrals for Liénard polynomial differential systems

DOI10.1090/S0002-9939-10-10338-4zbMath1196.37107OpenAlexW2062205604MaRDI QIDQ4929992

Claudia Valls, Jaume Llibre

Publication date: 27 September 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-10-10338-4

zbMATH Keywords

Darboux polynomialsexponential factorsLiouvillian first integralsLiénard polynomial differential systems

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30)

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Cites Work

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• The limit cycle of the van der Pol equation is not algebraic
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• Liouvillian first integrals for the planar Lotka-Volterra system
• On the local analytic integrability at the singular point of a class of Liénard analytic differential systems
• Liouvillian First Integrals of Differential Equations
• On the polynomial first integrals of the (a,b,c) Lotka–Volterra system

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