Determining Liouvillian first integrals for dynamical systems in the plane

被引：7

作者：

Avellar, J.

Duarte, L. G. S.

Duarte, S. E. S.

da Mota, L. A. C. P. ^{[1
]}

机构：

[1] Univ Estado Rio De Janeiro, Inst Fis, Dept Fis Teor, BR-20559900 Rio De Janeiro, Brazil

[2] Fdn Apoio Escola Tecn, ETE Juscelino Kubitschek, BR-21311280 Rio De Janeiro, Brazil

[3] CFET, BR-20537200 Rio De Janeiro, Brazil

来源：

COMPUTER PHYSICS COMMUNICATIONS | 2007年 / 177卷 / 07期

关键词：

Liouvillian functions; first integrals; dynamical systems in the plane; first order ordinary differential equations; computer algebra; Prelle-Singer (PS);

D O I：

10.1016/j.cpc.2007.05.014

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

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 commands permitting research investigations of some algebraic properties of the system that is being studied.

引用

页码：584 / 596

页数：13

共 18 条

[1] Integrating first-order differential equations with Liouvillian solutions via quadratures: a semi-algorithmic method [J].