A flexible error estimate for the application of centre manifold theory

Article


Li, Zhenquan and Roberts, A. J.. 2007. "A flexible error estimate for the application of centre manifold theory." Global Journal of Pure and Applied Mathematics. 3 (3), pp. 241-249.
Article Title

A flexible error estimate for the application of centre manifold theory

ERA Journal ID32290
Article CategoryArticle
AuthorsLi, Zhenquan (Author) and Roberts, A. J. (Author)
Journal TitleGlobal Journal of Pure and Applied Mathematics
Journal Citation3 (3), pp. 241-249
Number of Pages9
Year2007
Place of PublicationNew Delhi, India
ISSN0973-1768
0973-9750
Web Address (URL)http://www.ripublication.com/gjpam.htm
Abstract

In applications of centre manifold theory we need more flexible error estimates than that provided by, for example, the Approximation Theorem 3 by Carr [4, 6]. Here we extend the theory to cover the case where the order of approximation in parameters and that in dynamical variables may be completely different. This allows, for example, the effective evaluation of low-dimensional dynamical models at finite parameter values.

Keywordserror; estimation theory; approximation theory; functional analysis; polynomials; centre manifold; error estimate
ANZSRC Field of Research 2020490409. Ordinary differential equations, difference equations and dynamical systems
401204. Computational methods in fluid flow, heat and mass transfer (incl. computational fluid dynamics)
490499. Pure mathematics not elsewhere classified
Public Notes

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Byline AffiliationsUniversity of the South Pacific, Fiji
Department of Mathematics and Computing
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