Generalized nonlinear superposition principles for planar polynomial vector fields

DOI10.1016/j.na.2004.09.011zbMath1224.34001OpenAlexW2023321790MaRDI QIDQ999577

Jaume Giné

Publication date: 4 February 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.09.011

zbMATH Keywords

first integralpolynomial vector fieldnonlinear superimposition principles

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Cites Work

• Generalized cofactors and nonlinear superposition principles
• Non-algebraic invariant curves for polynomial planar vector fields
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