Simple Darboux points of polynomial planar vector fields.

DOI10.1016/j.jpaa.2003.10.027zbMath1049.34060OpenAlexW2069353299MaRDI QIDQ1434776

Jean Moulin Ollagnier

Publication date: 12 July 2004

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.2003.10.027

Mathematics Subject Classification ID

Qualitative theory for ordinary differential equations (34C99) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15) Differential algebra (13N99) Local theory in algebraic geometry (14B99)

Related Items (4)

Bounding the degree of solutions of differential equations ⋮ The role of algebraic solutions in planar polynomial differential systems ⋮ Two non algebraic limit cycles of a class of polynomial differential systems with non-elementary equilibrium point ⋮ Darboux points and integrability of Hamiltonian systems with homogeneous polynomial potential

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• Some examples for the Poincaré and Painlevé problems
• Feuilletages holomorphes sur les surfaces complexes compactes
• On a Result of Darboux
• Around Jouanolou non-integrability theorem

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