Darboux theory of integrability for polynomial vector fields in taking into account the multiplicity at infinity

DOI10.1016/j.bulsci.2009.06.002zbMath1198.34054OpenAlexW2009453463MaRDI QIDQ1041175

Publication date: 1 December 2009

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2009.06.002

zbMATH Keywords

Darboux integrability invariant algebraic hypersurface polynomial vector field in projective space

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) Symmetries, invariants of ordinary differential equations (34C14) Dynamics induced by flows and semiflows (37C10)

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Cites Work