A flexible error estimate for the application of centre manifold theory

Z. Li, A.J. Roberts

Research output: Contribution to journalArticlepeer-review

Abstract

In applications of centre manifold theory we need more flexible error estimates thanthat provided by, for example, the Approximation Theorem 3 by Carr [4, 6]. Herewe extend the theory to cover the case where the order of approximation in parametersand that in dynamical variables may be completely different. This allows, forexample, the effective evaluation of low-dimensional dynamical models at finiteparameter values.
Original languageEnglish
Pages (from-to)241-249
Number of pages9
JournalGlobal Journal of Pure and Applied Mathematics
Volume3
Issue number3
Publication statusPublished - 2007

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