Newton polyhedra and power transformations

DOI10.1016/S0378-4754(97)00121-3zbMath1017.34500OpenAlexW1972105574MaRDI QIDQ1404730

Alexander D. Bruno

Publication date: 21 August 2003

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

Full work available at URL: https://doi.org/10.1016/s0378-4754(97)00121-3

zbMATH Keywords

perturbationAsymptoticsDifferential equationsAlgebraic equationsFirst approximationSingular

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Theoretical approximation of solutions to ordinary differential equations (34A45) Geometric theory, characteristics, transformations in context of PDEs (35A30) Asymptotic expansions of solutions to ordinary differential equations (34E05) Numerical methods for ordinary differential equations (65L99)

Related Items (1)

On the Nipp polyhedron algorithm for solving singular perturbation problems

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• Normal form of the satellite oscillation equation in the singular case
• Local analysis of a reversible ode system and the newton polyhedron
• Local analysis of singularities of an invertible system of ordinary differential equations

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