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.
|Publication status||Unpublished - 2003|
Bibliographical noteAdditional 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.