A MAPLE program for the generation of the Lie-series solution of systems of non-linear ordinary differential equations

Published: 01-01-1992| Version 1 | DOI: 10.17632/bb3bxk6bs2.1
Contributor:
Jose Luis Rodriguez Azara

Description

Abstract The Lie series is a power series in which the initial conditions are part of the constant coefficients of the series. This property makes the Lie series appropriate for the study of systems of differential equations that exhibit chaotic behavior and, therefore, are sensitive to initial conditions. We present the theory behind the Lie series, a MAPLE program capable of handling single as well as systems of ODE's, several examples of the application of the program to linear and non-linear probl... Title of program: LIESER Catalogue Id: ACBT_v1_0 Nature of problem The Lie-series solution of systems of differential equations that represent physical phenomena can lead to better understanding of the phenomena. It is of special importance for chaotic systems because it contains the initial conditions as part of the coefficients in the series. Versions of this program held in the CPC repository in Mendeley Data ACBT_v1_0; LIESER; 10.1016/0010-4655(92)90058-7 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)

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