Essential variables in the integrability problem of planar vector fields

DOI10.1016/j.physleta.2010.11.026zbMath1241.34018OpenAlexW2021895807MaRDI QIDQ430608

Jaume Giné, Xavier Santallusia

Publication date: 26 June 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2010.11.026

zbMATH Keywords

first integralintegrability problemsystems of nonlinear differential equations

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)

Related Items (11)

ON THE DEGENERATE CENTER PROBLEM ⋮ Nondegenerate centers and limit cycles of cubic Kolmogorov systems ⋮ On the integrability of Liénard systems with a strong saddle ⋮ On the formal integrability problem for planar differential systems ⋮ Analytic integrability of cubic-linear planar polynomial differential systems ⋮ Integrability of 3-dim polynomial systems with three invariant planes ⋮ The Liouvillian Integrability of Several Oscillators ⋮ Local integrability of a family of three-dimensional quadratic systems ⋮ On the dynamics of the Rayleigh-Duffing oscillator ⋮ A BLOW-UP METHOD TO PROVE FORMAL INTEGRABILITY FOR SOME PLANAR DIFFERENTIAL SYSTEMS ⋮ Reduction of integrable planar polynomial differential systems

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