Determining Liouvillian. first integrals for dynamical systems in the plane and an integrability analysis

被引：0

作者：

Avellar, J. ^{[1
]}

Cardoso, M. S. ^{[1
]}

Duarte, L. G. S. ^{[1
]}

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

机构：

[1] Univ Estado Rio de Janeiro UERJ, Rio De Janeiro, RJ, Brazil

来源：

COMPUTER PHYSICS COMMUNICATIONS | 2014年 / 185卷 / 05期

关键词：

Dynamical systems; Integrating factors; Integrability; ORDINARY DIFFERENTIAL-EQUATIONS;

D O I：

10.1016/j.cpc.2014.01.016

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Here we deal with 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. The particular form of such systems allows reducing them to a single rational first order ordinary differential equation (rational 1ODE). Therefore, we have produced some methods and implemented a set of software routines in Maple for dealing with rational 1ODEs. We have also introduced (based on our previous results [2,3]) methods to analyze the integrability regions for the parameters (possibly) present on the rational 1ODE. © 2014 Elsevier B.V. All rights reserved.

引用

页码：1496 / 1497

页数：2

共 7 条

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