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.

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页码：1810 / 1839

页数：30

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