Reduction of integrable planar polynomial differential systems

DOI10.1016/j.aml.2012.02.047zbMath1258.34003OpenAlexW2055686818MaRDI QIDQ712619

Jaume Giné

Publication date: 17 October 2012

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

Full work available at URL: https://doi.org/10.1016/j.aml.2012.02.047

zbMATH Keywords

polynomial differential systemsDarboux theory of integrabilityplanar integrability

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (10)

Nonlocal deformations of autonomous invariant curves for Liénard equations with quadratic damping ⋮ Integrability Conditions for Complex Homogeneous Kukles Systems ⋮ Formal Weierstrass Nonintegrability Criterion for Some Classes of Polynomial Differential Systems in ℂ2 ⋮ Nondegenerate and nilpotent centers for a cubic system of differential equations ⋮ On the geometric and analytical properties of the anharmonic oscillator ⋮ Structure of Lie point and variational symmetry algebras for a class of odes ⋮ First integrals and Hamiltonians of some classes of ODEs of maximal symmetry ⋮ Orbitally universal centers ⋮ Integrability of the Tolman-Oppenheimer-Volkoff equation ⋮ Puiseux integrability of differential equations

Cites Work

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• Elementary First Integrals of Differential Equations
• An algorithmic method to determine integrability for polynomial planar vector fields
• Liouvillian First Integrals of Differential Equations
• Integration of polynomial ordinary differential equations in the real plane

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