A flexible error estimate for the application of centre manifold theory

Details A flexible error estimate for the application of centre manifold theory A flexible error estimate for the application of centre manifold theory

2000-02-17

arxiv.org/abs/math/0002138v1

Mathematics

Dynamical Systems

11 pages, LaTeX

Scientific paper

In applications of centre manifold theory we need more flexible error estimates than that provided by, for example, the Approximation Theorem~3 by Carr (1981,1983). 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.

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