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

B Krauskopf; K Green; Koen Engelborghs

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

B Krauskopf, K Green, Koen Engelborghs

Department of Engineering Mathematics

Research output: Working paper

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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 language	English
Publication status	Unpublished - 2003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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1 Conference Contribution (Conference Proceeding)

From local to global one-dimensional unstable manifolds in delay differential equations
Green, K., Engelborghs, K. & Krauskopf, B., 2005, Unknown. World Scientific Publishing Co., p. 174 - 180 7 p.
Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

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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.",

author = "B Krauskopf and K Green and Koen Engelborghs",

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 {\textcopyright} 2005 World Scientific Publishing Co. All rights reserved ",

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T1 - From local to global one-dimensional unstable manifolds in delay differential equations

AU - Krauskopf, B

AU - Green, K

AU - Engelborghs, Koen

N1 - 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

PY - 2003

Y1 - 2003

N2 - 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.

AB - 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.

M3 - Working paper

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

ER -

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

Abstract

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Research output

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

Cite this