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

Bacha Inès

Mathematics and Computers in Simulation (MATCOM), 2002, vol. 60, issue 1, 19-44

Abstract: In this paper, we present an algorithm to simplify a first-order system of two ordinary differential equations in the neighborhood of singular points with evidence, we prove a theorem dealing with its convergence and compare it with already known methods and apply it to some particular systems.

Keywords: Ordinary differential equations; Singularities; Power transformations; Normal transformations; Newton polygon (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:60:y:2002:i:1:p:19-44

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