An algorithmic method to determine integrability for polynomial planar vector fields

DOI10.1017/S0956792505006388zbMath1115.34011OpenAlexW2013866265MaRDI QIDQ3421525

Jaume Giné, Hector J. Giacomini

Publication date: 7 February 2007

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0956792505006388

zbMATH Keywords

integrabilityplanar vector fieldfirst integralDarboux method

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Dynamics induced by flows and semiflows (37C10) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

Related Items (6)

On some open problems in planar differential systems and Hilbert's 16th problem ⋮ Weierstrass integrability of differential equations ⋮ The role of algebraic solutions in planar polynomial differential systems ⋮ Reduction of integrable planar polynomial differential systems ⋮ Abel differential equations admitting a certain first integral ⋮ Darboux theory of integrability in $$\mathbb {T}^n$$

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