author = {L.X.Chau Ngo},
title = {{Finding rational solutions of rational systems of autonomous ODEs}},
language = {english},
abstract = {In this paper we provide an algorithm to find explicitly rational solutions of a rational system of autonomous ordinary dierential equations (ODEs) from its invariant algebraic curves. The method is based on the rational parametrization of the rational invariant algebraic curves and intensively using of linear fractional transformations between two proper rational parametriza- tions of the same algebraic curve.},
number = {10-02},
year = {2010},
month = {February},
sponsor = {Doctoral Program "Computational Mathematics" (W1214), project DK11.},
length = {13},
type = {RISC Report Series},
institution = {Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz},
address = {Altenberger Straße 69, 4040 Linz, Austria},
issn = {2791-4267 (online)}