Reduction and reconstruction for symmetric ordinary differential equations

被引：6

作者：

Gaeta, Giuseppe ^{[4
]}

Grosshans, Frank D. ^{[3
]}

Scheurle, Juergen ^{[2
]}

Walcher, Sebastian ^{[1
]}

机构：

[1] Rhein Westfal TH Aachen, Lehrstuhl Math, D-52056 Aachen, Germany

[2] Tech Univ Munich, Zentrum Math, D-85747 Garching, Germany

[3] W Chester Univ, Dept Math, W Chester, PA 19383 USA

[4] Univ Milan, Dipartimento Matemat, I-20133 Milan, Italy

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2008年 / 244卷 / 07期

关键词：

D O I：

10.1016/j.jde.2008.01.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We discuss the reduction and reconstruction problem for ordinary differential equations that admit a linear symmetry group. The goal is to prove that modulo reduction there remain only linear differential equations, and to construct these explicitly. Extending previous work on one-parameter groups, we show this for certain unipotent and solvable groups, and for all semisimple groups. Some applications to relative equilibria are given. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：1810 / 1839

页数：30

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