Local simplification of first-order systems of ordinary differential equations of dimension two

DOI10.1016/S0378-4754(01)00444-XzbMath1001.65072OpenAlexW2041339803MaRDI QIDQ1614053

Inès Bacha

Publication date: 3 September 2002

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-4754(01)00444-x

zbMATH Keywords

algorithmconvergencesingularitiesNewton polygonsystempower transformationsnormal transformation

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Cites Work

• Problèmes de modules pour des équations différentielles non linéaires du premier ordre
• On the variety of orbits
• Groupes d'automorphismes de $({\bbfC},0)$ et équations différentielles $ydy+\cdots =0$
• ON THE SERIES DEFINED BY DIFFERENTIAL EQUATIONS, WITH AN EXTENSION OF THE PUISEUX POLYGON CONSTRUCTION TO THESE EQUATIONS
• Algorithmic reduction of Poincaré-Dulac normal forms and Lie algebraic structure
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