Slow observables of singularly perturbed differential equations

被引：30

作者：

Artstein, Zvi ^{[1
]}

Kevrekidis, Ioannis G.

Slemrod, Marshall

Titi, Edriss S.

机构：

[1] Weizmann Inst Sci, Dept Math, IL-76100 Rehovot, Israel

[2] Princeton Univ, Dept Chem Engn, Princeton, NJ 08544 USA

[3] Princeton Univ, PACM, Princeton, NJ 08544 USA

[4] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

[5] Weizmann Inst Sci, Dept Comp Sci & Appl Math, IL-76100 Rehovot, Israel

来源：

NONLINEARITY | 2007年 / 20卷 / 11期

关键词：

SYSTEMS; DYNAMICS;

D O I：

10.1088/0951-7715/20/11/001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Singularly perturbed systems which may not possess a natural coordinate split into slow and fast dynamics are examined. Their limit behaviour is depicted as an invariant measure of the fast component drifted by the slow part of the system. Slow observables capture then limit characteristics of the system, and may determine the evolution of the limit invariant measures.

引用

页码：2463 / 2481

页数：19

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