Side Conditions for Ordinary Differential Equations

被引：0

作者：

Cicogna, Giampaolo ^{[1
,2
]}

Gaeta, Giuseppe ^{[3
]}

Walcher, Sebastian ^{[4
]}

机构：

[1] Univ Pisa, Dipartimento Fis, I-56127 Pisa, Italy

[2] Ist Nazl Fis Nucl, Sez Pisa, I-56127 Pisa, Italy

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

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

来源：

JOURNAL OF LIE THEORY | 2015年 / 25卷 / 01期

关键词：

Invariant set; Lie series; infinitesimal symmetry; quasi-steady state (QSS); QUASI-STEADY-STATE; SYMMETRIES; REDUCTION;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We specialize Olver's and Rosenau's side condition heuristics for the determination of particular invariant sets of ordinary differential equations. It turns out that side conditions of so-called LaSalle type are of special interest. Moreover we put side condition properties of symmetric and partially symmetric equations in a wider context. In the final section we present an application to parameter-dependent systems, in particular to quasi-steady state for chemical reactions.

引用

页码：125 / 146

页数：22

共 31 条

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