Embedding as a modeling problem
type: Item
instance of: scholarly article
title: Embedding as a modeling problem
zbMATH Open document ID: 0965.37061
DOI: 10.1016/S0167-2789(98)00089-X
author: Kevin Judd
author: Alistair Mees
published in: Physica D
publication date: 2000-02-06T00:00:00Z
review text: This paper is devoted to embedding as a modeling problem. The practice of embedding relies on a celebrated result of Takens. However there are difficulties with the embedding step of all previous results. Here the authors present an alternative that seems to be powerful and widely applicable. The authors present a modified procedure, nonuniform embedding, which in particular is relevant when there are multiple timescales in the dynamics. Moreover, for more complex nonlinear dynamics the authors introduce a variable embedding, where, in a suitable sense, the embedding changes with the state of the system.
Mathematics Subject Classification ID: 37M10
zbMATH DE Number: 1399216
zbMATH Keywords: embedding
zbMATH Keywords: non-uniform embedding
zbMATH Keywords: multiple time-scales in dynamics
zbMATH Keywords: variable embedding
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
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full work available at URL: s0167-2789(98)00089-x
OpenAlex ID: W2081900870
description: scientific article; zbMATH DE number 1399216