Analytic integrability and characterization of centers for generalized nilpotent singular points.

DOI10.1016/S0096-3003(02)00941-4zbMath1054.34048MaRDI QIDQ1421285

Jaume Giné

Publication date: 26 January 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (13)

Analytic integrability of some examples of degenerate planar vector fields ⋮ On the number of algebraically independent Poincaré-Liapunov constants ⋮ Algebraic Inverse Integrating Factors for a Class of Generalized Nilpotent Systems ⋮ Analytic integrability for some degenerate planar vector fields ⋮ Limit cycles and analytic centers for a family of \(4n - 1\) degree systems with generalized nilpotent singularities ⋮ Editorial: Some classes of function spaces, their properties, and their applications 2014 ⋮ Center problem for generic degenerate vector fields ⋮ ON THE CENTER CONDITIONS FOR ANALYTIC MONODROMIC DEGENERATE SINGULARITIES ⋮ A note on analytic integrability of planar vector fields ⋮ Limit cycle bifurcations and analytic center conditions for a class of generalized nilpotent systems ⋮ Periodic solutions of a 2D-autonomous system using Mathematica\(^{\copyright}\) ⋮ Like-linearizations of vector fields ⋮ Monodromy of a class of analytic generalized nilpotent systems through their Newton diagram

Cites Work

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• Versal deformations of singular points of vector fields on a plane
• Singularities of vector fields on the plane
• Reversibility and classification of nilpotent centers
• Monodromy and stability of a class of degenerate planar critical points
• Analytic integrability and characterization of centers for nilpotent singular points
• Singularities of vector fields
• Sur les points singuliers multiples de systèmes dynamiques dans \(R^ 2\)
• Algebraic nonsolvability andalmost algebraic solvability of the center- focus problem
• Investigation of the behaviour of the integral curves of a system of two differential equations in the neighbourhood of a singular point
• The focus-centre problem for a type of degenerate system
• ON THE CENTER PROBLEM FOR DEGENERATE SINGULAR POINTS OF PLANAR VECTOR FIELDS
• Symétrie et forme normale des centres et foyers dégénérés
• Probleme General de la Stabilite du Mouvement. (AM-17)
• The center-focus problem and reversibility

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