3D polynomial dynamical systems with elementary first integrals

DOI10.1088/1751-8113/43/6/065204zbMath1184.37059OpenAlexW2069244474MaRDI QIDQ5305415

L. G. S. Duarte, L. A. C. P. da Mota

Publication date: 22 March 2010

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/43/6/065204

zbMATH Keywords

Prelle-Singer methodDarboux polynoms

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Differential algebra (12H05) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

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A Maple package to find first order differential invariants of 2ODEs via a Darboux approach ⋮ Dealing with rational second order ordinary differential equations where both Darboux and Lie find it difficult: the \(S\)-function method

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