Non-algebraic invariant curves for polynomial planar vector fields

DOI10.3934/dcds.2004.10.755zbMath1050.34033OpenAlexW1977441670MaRDI QIDQ1433452

Jaume Giné, Isaac A. García

Publication date: 18 June 2004

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2004.10.755

zbMATH Keywords

planar polynomial differential equationLotka-Volterra systeminvariant curve

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) Dynamics induced by flows and semiflows (37C10)

Related Items (11)

Formal Weierstrass integrability for a Liénard differential system ⋮ A survey on the inverse integrating factor ⋮ Formal Weierstrass Nonintegrability Criterion for Some Classes of Polynomial Differential Systems in ℂ2 ⋮ Number of limit cycles for planar systems with invariant algebraic curves ⋮ On Liouvillian integrability of the first-order polynomial ordinary differential equations ⋮ A note on Liouvillian integrability ⋮ On some open problems in planar differential systems and Hilbert's 16th problem ⋮ On the Darboux integrability of Blasius and Falkner-Skan equation ⋮ Generalized nonlinear superposition principles for planar polynomial vector fields ⋮ A note on the Liouvillian integrability and the qualitative properties of the mass rate equation for black holes ⋮ Puiseux integrability of differential equations

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