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

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.

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Year of publication:	2002
Authors:	Inès, Bacha
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 60.2002, 1, p. 19-44
Publisher:	Elsevier
Subject:	Ordinary differential equations \| Singularities \| Power transformations \| Normal transformations \| Newton polygon

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010749389