Non-Shilnikov cascades of spikes and hubs in a semiconductor laser with optoelectronic feedback

Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Sep;82(3 Pt 2):037202. doi: 10.1103/PhysRevE.82.037202. Epub 2010 Sep 21.

Abstract

Incomplete homoclinic scenarios were recently measured in a semiconductor laser with optoelectronic feedback. We show here that such a laser contains cascades of spirals of periodic oscillations and hubs which look identical to the familiar ones observed in complete homoclinic scenarios. This means that hubs are far more general than presumed so far, being not limited by Shilnikov's theorem. Laser hubs open the possibility of measuring complex distributions of non-Shilnikov laser oscillations, and we briefly discuss how to do it.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Electronics*
  • Feedback*
  • Lasers*
  • Models, Theoretical*
  • Optical Phenomena*
  • Periodicity
  • Semiconductors*