Growing 1D and quasi-2D unstable manifolds of maps
type: Item
instance of: scholarly article
title: Growing 1D and quasi-2D unstable manifolds of maps
zbMATH Open document ID: 0915.65075
author: Bernd Krauskopf
author: Hinke M. Osinga
published in: Journal of Computational Physics
publication date: 1999-04-11T00:00:00Z
review text: The authors present an algorithm to compute step by step a piecewise linear approximation for the one-dimensional unstable manifold of a saddle point of a planar map. The distance between two points is automatically adapted to the curvature of the unstable manifold. Convergence and accuracy is only superficially discussed. Instead some concrete examples are given to demonstrate the practical performance of the algorithm. Finally, an extension of the algorithm to two-dimensional unstable manifolds is presented and tested at a quasi-periodically forced Hénon map.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 37-XX
Mathematics Subject Classification ID: 65Y20
zbMATH DE Number: 1240724
zbMATH Keywords: unstable manifold
zbMATH Keywords: saddle point
zbMATH Keywords: numerical examples
zbMATH Keywords: algorithm
zbMATH Keywords: convergence
zbMATH Keywords: performance
zbMATH Keywords: quasi-periodically forced Hénon map
reviewed by: Werner M. Seiler
Wikidata QID: Q114476344
describes a project that uses: DSTool
describes a project that uses: Mathematica
describes a project that uses: Geomview
MaRDI profile type: Publication
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DOI: 10.1006/JCPH.1998.6059
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description: scientific article; zbMATH DE number 1240724