From local to global one-dimensional unstable manifolds in delay differential equations

B Krauskopf, K Green, Koen Engelborghs

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Abstract

A saddle-periodic orbit in a delay differential equation can be computed together with its unstable eigenfunctions using the latest version of the continuation package DDE-BIFTOOL. For the case of a single unstable Floquet multiplier we show how this information can be used to compute the one-dimensional unstable manifold of the associated fixed point of the Poincare map.
Original languageEnglish
Publication statusUnpublished - 2003

Bibliographical note

Additional information: Later published in EQUADIFF: Proceedings of the International Conference on Differential Equations, by World Scientific Publishing (2005), pp. 175-180, ISBN 9812561692

Sponsorship: KG is a Research Fellow of KU Leuven. BK is supported by a an EPSRC Advanced Research Fellowship Grant.

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

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