Normal hyperbolicity for flows and numerical methods

Ming-Chia Li

doi:10.1216/rmjm/1030539620

Normal hyperbolicity for flows and numerical methods

Ming-Chia Li^*

^*Corresponding author for this work

Department of Applied Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

In this paper we prove that normally hyperbolic invariant manifolds persist between flows and numerical methods in both directions. This means that normal hyperbolicity offlo ws is preserved under numerical methods and that normally hyperbolicity for numerical methods is inherited by flows.

Original language	English
Pages (from-to)	349-356
Number of pages	8
Journal	Rocky Mountain Journal of Mathematics
Volume	32
Issue number	1
DOIs	https://doi.org/10.1216/rmjm/1030539620
State	Published - 1 Jan 2002

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Normal hyperbolicity for flows and numerical methods

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