Algebraic solutions of plane vector fields

DOI10.1016/j.jpaa.2008.06.003zbMath1155.37035OpenAlexW2007467867MaRDI QIDQ952254

L. Menasché Schechter, S. C. Coutinho

Publication date: 11 November 2008

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2008.06.003

zbMATH Keywords

vector fieldinvariant algebraic curvederivation

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Singularities of holomorphic vector fields and foliations (32S65) Ordinary differential equations on complex manifolds (34M45) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items

Inverse problems in Darboux' theory of integrability, Computation of Darboux polynomials and rational first integrals with bounded degree in polynomial time, Vector fields and a family of linear type modules related to free divisors, An efficient method for computing Liouvillian first integrals of planar polynomial vector fields, Rational factors, invariant foliations and algebraic disintegration of compact mixing Anosov flows of dimension \(3\), Efficient algorithms for computing rational first integrals and Darboux polynomials of planar polynomial vector fields

Uses Software

• SINGULAR

Cites Work

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