One-dimensional unstable eigenfunction and manifold computations in delay differential equations

K. Green, B. Krauskopf, K. Engelborghs

Research output: Contribution to JournalArticleAcademicpeer-review

Abstract

In this paper we present a new numerical technique for computing the unstable eigenfunctions of a saddle periodic orbit in a delay differential equation. This is used to obtain the necessary starting data for an established algorithm for computing one-dimensional (1D) unstable manifolds of an associated saddle fixed point of a suitable Poincaré map. To illustrate our method, we investigate an intermittent transition to chaos in a delay system describing a semiconductor laser subject to phase-conjugate feedback. © 2003 Elsevier Inc. All rights reserved.
Original languageEnglish
Pages (from-to)86-98
JournalJournal of Computational Physics
Volume197
Issue number1
DOIs
Publication statusPublished - 2004

Bibliographical note

One-dimensional unstable eigenfunction and manifold computations in delay differential equations

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