A note on Liouvillian first integrals and invariant algebraic curves

DOI10.1016/j.aml.2012.09.008zbMath1270.34110OpenAlexW1964085274MaRDI QIDQ691756

Jaume Llibre, Maite Grau, Jaume Giné

Publication date: 4 December 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2012.09.008

zbMATH Keywords

invariant algebraic curvefirst integralintegrating factorLiouvillian integrability

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Invariant manifolds for ordinary differential equations (34C45)

Related Items (5)

Liouvillian integrability versus Darboux polynomials ⋮ Invariant algebraic curves for Liénard dynamical systems revisited ⋮ On the first integrals of \(n\)-th order autonomous systems ⋮ Novel algebraic aspects of Liouvillian integrability for two-dimensional polynomial dynamical systems ⋮ On the analytic integrability of the cored galactic Hamiltonian

This page was built for publication: A note on Liouvillian first integrals and invariant algebraic curves