平面动力系统Liouvillian首次积分的确定
Determining Liouvillian First Integrals for Dynamical Systems in the Plane
摘要：
在这里，我们提出/实现了一个算法来找到Liouvillian第一积分的动力系统在平面上。在\cite{JCAM}中，我们介绍了当前实现的基础。这种系统的特殊形式允许将其简化为单个有理一阶常微分方程（有理一阶常微分方程）。本文给出了一套在Maple 10中求解有理一阶常微分方程的软件程序。该软件包目前的命令允许研究入侵的一些代数性质的系统，正在研究。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
