Determining Liouvillian first integrals for dynamical systems in the plane

Published: 01-10-2007| Version 1 | DOI: 10.17632/7g3tytdxm3.1
J. Avellar,
L.G.S. Duarte,
S.E.S. Duarte,
L.A.C.P. da Mota


Abstract Here we present/implement a semi-algorithm to find Liouvillian first integrals of dynamical systems in the plane. The algorithm is based on a Darboux-type procedure to find the integrating factor for the system. Since the particular form of such systems allows reducing it to a single rational first order ordinary differential equation (rational first order ODE), the Lsolver package presents a set of software routines in Maple for dealing with rational first order ODEs. The package present com... Title of program: Lsolver Catalogue Id: ADZF_v1_0 Nature of problem Solution of rational first order ordinary differential equations. Versions of this program held in the CPC repository in Mendeley Data ADZF_v1_0; Lsolver; 10.1016/j.cpc.2007.05.014 ADZF_v2_0; Lsolver; 10.1016/j.cpc.2014.01.016 ADZF_v3_0; Lsolver; 10.1016/j.cpc.2015.04.026 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)