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

Research output: Working paperWorking paper and Preprints

  • K Green
  • B Krauskopf
  • Koen Engelborghs
Original languageEnglish
Publication date2004
DOIs
StateUnpublished

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

Additional information

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

Research areas

  • Intermittent transition, Numerical tools for DDEs, PCF laser

Documents

Documents

  • Udp main rev4

    Preprint (usually an early version) , 1 MB, PDF-document

DOI

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