Liouvillian First Integrals for Generalized Liénard Polynomial Differential Systems

DOI10.1515/ans-2013-0404zbMath1369.34003OpenAlexW2345909485MaRDI QIDQ5747023

Claudia Valls, Jaume Llibre

Publication date: 11 February 2014

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/150587

zbMATH Keywords

Liouvillian first integralDarboux polynomialexponential factorgeneralized Liénard polynomial differential system

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (8)

Liouvillian integrability versus Darboux polynomials ⋮ The method of Puiseux series and invariant algebraic curves ⋮ Invariant algebraic curves for certain generalized Liénard differential system ⋮ Liouvillian integrability of the generalized Duffing oscillators ⋮ Liouvillian integrability of some quadratic Liénard polynomial differential systems ⋮ Phase portraits of the quadratic polynomial Liénard differential systems ⋮ On the nonexistence of Liouvillian first integrals for generalized Liénard polynomial differential systems ⋮ A characterization of the generalized Liénard polynomial differential systems having invariant algebraic curves

Cites Work

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• Rational integration of the Lotka-Volterra system
• Liouvillian first integrals for the planar Lotka-Volterra system
• On the polynomial first integrals of the (a,b,c) Lotka–Volterra system

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