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

K Green, B Krauskopf, Koen Engelborghs

Research output: Working paperWorking paper and Preprints

11 Citations (Scopus)
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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 the computation of one-dimensional unstable manifolds of an associated saddle fixed point of a suitable Poincar\'e 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. of
Original languageEnglish
DOIs
Publication statusUnpublished - 2004

Bibliographical note

Additional information: Later publised by Elsevier Science, (2004) Journal of Computational Physics, 197 (1), pp. 86-98. ISSN 0021-9991

Keywords

  • Intermittent transition
  • Numerical tools for DDEs
  • PCF laser

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