Determining Liouvillian first integrals for dynamical systems in the plane
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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)
创建时间：
2019-11-11
