Determining Liouvillian first integrals for dynamical systems in the plane and an integrability analysis

Published: 01-05-2014| Version 1 | DOI: 10.17632/f3ykzcr537.1
J. Avellar,
M.S. Cardoso,
L.G.S. Duarte,
lacp da mota


Abstract Here we deal with 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. The particular form of such systems allows reducing them to a single rational first order ordinary differential equation (rational 1ODE). Therefore, we have produced some methods and implemented a set of software routines in Maple for dealing with rational 1ODEs. We have also introduced (base... Title of program: Lsolver Catalogue Id: ADZF_v2_0 Nature of problem We deal with the analytical solving of 1ODEs via a Darboux method. We also introduce an integrability analysis for this present case (1ODEs) that was previously presented in the context of 2ODEs. 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)