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A two-parameter study of the locking region of a semiconductor laser subject to phase-conjugate feedback

Research output: Working paperWorking paper and Preprints

  • K Green
  • B Krauskopf
  • Giovanni Samaey
Original languageEnglish
StateUnpublished - 2002


We present a detailed bifurcation analysis of a single-mode semiconductor laser subject to phase-conjugate feedback, a system described by a delay differential equation. Codimension-one bifurcation curves of equilibria and periodic orbits and curves of certain connecting orbits are presented near the laser's locking region in the two-dimensional parameter plane of feedback strength and pump current. We identify several codimension-two bifurcations, including a double-Hopf point, Belyakov points, and a T-point bifurcation, and we show how they organize the dynamics. This study is the first example of a two-parameter bifurcation study, including bifurcations of periodic and connecting orbits, of a delay system. It was made possible by new numerical continuation tools, implemented in the package DDE-BIFTOOL, and showcases their usefulness for the study of delay systems arising in applications

Additional information

Additional information: Later published by Society for Industrial and Applied Mathematics (2003), SIAM Journal on Applied Dynamical Systems, 2(2), pp. 254-276, ISSN 1536-0040 Terms of use: Copyright © 2003 by Society for Industrial and Applied Mathematics

    Research areas

  • semiconductor lasers, delay differential equations, phase-conjugate feedback, T-point bifurcation, heteroclinic orbits, two-parameter continuation

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