Quadratic vector fields in \({\mathbb{C}}\mathbb{P}^2\) with two saddle-node type singularities at infinity

DOI10.1007/BF02269371zbMath0988.37065MaRDI QIDQ1972692

L. Ortiz-Bobadilla

Publication date: 13 April 2000

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

zbMATH Keywords

projective spacesingularities at infinityquadratic vector fieldsmonodromy transformationgerms of conformal mappingsnonlinear Stokes phenomena

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)

Related Items (3)

Centennial History of Hilbert's 16th Problem ⋮ Dynamics of local groups of conformal mappings and generic properties of differential equations on \(\mathbb{C}^{2}\) ⋮ Quadratic vector fields in \(\mathbb{C}P^{2}\) with solvable monodromy group at infinity

Cites Work

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• Problèmes de modules pour des équations différentielles non linéaires du premier ordre
• Groupes d'automorphismes de $({\bbfC},0)$ et équations différentielles $ydy+\cdots =0$

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