The application of centre manifolds to amplitude expansions. I. Ordinary differential equations

Jack Carr, Robert G. Muncaster

Research output: Contribution to journalArticle

Abstract

The theory of centre manifolds for a system of ordinary differential equations is summarized and its relationship to amplitude expansions based upon multiple time scales is discussed. Emphasis is placed upon the practical computational aspects of applying centre manifold theory to near-critical problems, and, in particular, to the computation of the centre manifold. The calculations are illustrated by a detailed analysis of two problems in fluid mechanics. © 1983.

Original languageEnglish
Pages (from-to)260-279
Number of pages20
JournalJournal of Differential Equations
Volume50
Issue number2
Publication statusPublished - Nov 1983

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Center Manifold
Ordinary differential equation
Multiple Time Scales
Fluid Mechanics
System of Ordinary Differential Equations

Cite this

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title = "The application of centre manifolds to amplitude expansions. I. Ordinary differential equations",
abstract = "The theory of centre manifolds for a system of ordinary differential equations is summarized and its relationship to amplitude expansions based upon multiple time scales is discussed. Emphasis is placed upon the practical computational aspects of applying centre manifold theory to near-critical problems, and, in particular, to the computation of the centre manifold. The calculations are illustrated by a detailed analysis of two problems in fluid mechanics. {\circledC} 1983.",
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The application of centre manifolds to amplitude expansions. I. Ordinary differential equations. / Carr, Jack; Muncaster, Robert G.

In: Journal of Differential Equations, Vol. 50, No. 2, 11.1983, p. 260-279.

Research output: Contribution to journalArticle

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