WIAS Preprint No. 750, (2002)

Excitability and self-pulsations near homoclinic bifurcations in semiconductor laser systems


  • Krauskopf, Bernd
  • Schneider, Klaus R.
  • Sieber, Jan
  • Wieczorek, Sebastian
  • Wolfrum, Matthias

2010 Mathematics Subject Classification

  • 34C37 78A60 34C23 34C25

2008 Physics and Astronomy Classification Scheme

  • 42.50.Ne 42.55.Px 05.45.+b


  • excitability, self-pulsations, semiconductor laser, homoclinic bifurcations


Many laser systems show self-pulsations with a large amplitude that are born suddenly in a homoclinic bifurcation. Just before the onset of these self-pusations the laser is excitable where the excitability threshold is formed by the stable manifold of a saddle point. We show that there exists a special configuration, a codimension-two bifurcation called non-central saddle-ode homoclinic orbit, that acts as a organizing center of excitability in lasers. It is the key to understanding excitability in laser systems as diverse as lasers with saturable absorbers, lasers with optical injection and lasers with optical feedback.

Appeared in

  • Optics Communications, 215 (2003), pp 367-379

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