On certain types of point symmetries of systems of second-order ordinary differential equations

被引：5

作者：

Campoamor-Stursberg, R. ^{[1
,2
]}

机构：

[1] Univ Complutense Madrid, IMI, Fac CC Matemat, Plaza Ciencias 3, E-28040 Madrid, Spain

[2] Univ Complutense Madrid, Dpto Geometria & Topol, Fac CC Matemat, E-28040 Madrid, Spain

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2014年 / 19卷 / 08期

关键词：

Lie symmetry method; Second order systems of ODEs; Lie algebra; CONSTANT-COEFFICIENTS; LIE-ALGEBRAS; LINEAR ODES; INVARIANTS; BREAKING;

D O I：

10.1016/j.cnsns.2014.01.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Existence criteria for some generic types of point symmetries of systems of n-second order ordinary differential equations are studied, specially in connection with the generation of semisimple subalgebras of symmetries belonging to the simple linear and orthogonal types, as well as their maximal dimension and rank. The structure of certain time-dependent symmetries, in particular scaling symmetries, are also studied, and the structure of the subalgebras they span determined. Generic examples illustrating the procedure are given. (C) 2014 Elsevier B. V. All rights reserved.

引用

页码：2602 / 2613

页数：12

共 28 条

[1] LIE GROUP SYMMETRIES AND INVARIANTS OF THE HENON-HEILES EQUATIONS [J].