Numerical study of manifold computations

Hinke M Osinga; Reza Rokni

Numerical study of manifold computations

Hinke M Osinga, Reza Rokni

Department of Engineering Mathematics

Research output: Working paper

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Abstract

In this paper we study the numerical accuracy of computing one-dimensional manifolds of (non-hyperbolic) equilibria in a planar vector field for which the manifolds are known explicitly. We consider the (strong) stable manifolds of a saddle, a sink, and a centre-stable equilibrium.

Original language	English
Publication status	Published - 2003

Bibliographical note

Additional information: Later published in EQUADIFF: Proceedings of the International Conference on Differential Equations, by World Scientific Publishing (2005), pp. 190-195, ISBN 9812561692

Terms of use: Copyright © 2005 World Scientific Publishing Co. All rights reserved

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abstract = "In this paper we study the numerical accuracy of computing one-dimensional manifolds of (non-hyperbolic) equilibria in a planar vector field for which the manifolds are known explicitly. We consider the (strong) stable manifolds of a saddle, a sink, and a centre-stable equilibrium.",

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BT - Numerical study of manifold computations

ER -

Numerical study of manifold computations

Abstract

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