Determining Liouvillian First Integrals for Dynamical Systems in the Plane

Avellar, J.; Duarte, L. G. S.; Duarte, S. E. S.; da Mota, L. A. C. P.

doi:10.1016/j.cpc.2007.05.014

arXiv 2006-05-09 DOI 10.1016/j.cpc.2007.05.014 0 views

Determining Liouvillian First Integrals for Dynamical Systems in the Plane

Avellar, J. · Duarte, L. G. S. · Duarte, S. E. S. · da Mota, L. A. C. P.

Mathematical Physics Classical Analysis and ODEs

Original · EN

Here we present/implement an algorithm to find Liouvillian first integrals of dynamical systems in the plane. In 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.

English translation

This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.

Read on arXiv