Determining Liouvillian first integrals for dynamical systems in the plane
Copyright policy )Determining Liouvillian first integrals for dynamical systems in the plane
Here we present/implement an algorithm to find Liouvillian first integrals of dynamical systems in the plane. In \cite{JCAM}, we have introduced the basis for the present implementation. The particular form of such systems allows reducing it to a single rational first order ordinary differential equation (rational first order ODE). We present a set of software routines in Maple 10 for solving rational first order ODEs. The package present commands permitting research incursions of some algebraic properties of the system that is being studied.
\texttt{Lsolver}, first integrals, FOS: Physical sciences, Prelle-Singer (PS), Mathematical Physics (math-ph), Liouvillian functions, dynamical systems in the plane, Mathematics - Classical Analysis and ODEs, Explicit solutions, first integrals of ordinary differential equations, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Software, source code, etc. for problems pertaining to ordinary differential equations, first order ordinary differential equations, computer algebra, Mathematical Physics
\texttt{Lsolver}, first integrals, FOS: Physical sciences, Prelle-Singer (PS), Mathematical Physics (math-ph), Liouvillian functions, dynamical systems in the plane, Mathematics - Classical Analysis and ODEs, Explicit solutions, first integrals of ordinary differential equations, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Software, source code, etc. for problems pertaining to ordinary differential equations, first order ordinary differential equations, computer algebra, Mathematical Physics
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).7 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!