A flexible error estimate for the application of centre manifold theory

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. ISSN 0973-1768

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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 extended 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.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science, Technology and Environment (FSTE) > School of Computing, Information and Mathematical Sciences
Depositing User:	Ms Mereoni Camailakeba
Date Deposited:	14 Nov 2007 20:32
Last Modified:	12 Jul 2012 09:12
URI:	https://repository.usp.ac.fj/id/eprint/761

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