On Sufficient Conditions for Integrability of a Planar System of ODEs Near a Degenerate Stationary Point

DOI10.1007/978-3-642-15274-0_9zbMath1202.34077OpenAlexW1568303810MaRDI QIDQ3589067

Valery G. Romanovski, Victor F. Edneral

Publication date: 10 September 2010

Published in: Computer Algebra in Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-15274-0_9

zbMATH Keywords

integrabilitycomputer algebraresonant normal formpower geometryplanar ordinary differential equations

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20)

Uses Software

• SINGULAR
• primdec

Cites Work

• Normalizable, integrable, and linearizable saddle points for complex quadratic systems in \(\mathbb{C}^2\)
• Algorithmic analysis of local integrability
• An Algorithm for Construction of Normal Forms
• The Center and Cyclicity Problems
• The integrability problem for a class of planar systems
• On Integrability of a Planar ODE System Near a Degenerate Stationary Point
• SINGULAR
• NEW STUDY ON THE CENTER PROBLEM AND BIFURCATIONS OF LIMIT CYCLES FOR THE LYAPUNOV SYSTEM (I)

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