Polynomial differential systems having a given Darbouxian first integral

DOI10.1016/j.bulsci.2004.04.001zbMath1076.34002OpenAlexW2126797173MaRDI QIDQ707256

Chara Pantazi, Jaume Llibre

Publication date: 9 February 2005

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2117/1212

zbMATH Keywords

first integralintegrating factorpolynomial differential systemDarbouxian function

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (9)

Darboux polynomials and global phase portraits for the \(D_{2}\) vector field ⋮ A survey on the inverse integrating factor ⋮ Some new results on Darboux integrable differential systems ⋮ On the remarkable values of the rational first integrals of polynomial vector fields ⋮ One-parameter Lie groups and inverse integrating factors of \(n\)-th order autonomous systems ⋮ On the integrability of polynomial vector fields in the plane by means of Picard-Vessiot theory ⋮ The inverse integrating factor and the Poincaré map ⋮ On planar polynomial vector fields with elementary first integrals ⋮ On the computation of Darboux first integrals of a class of planar polynomial vector fields

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