English

Bursting: when a cusp and a pitchfork interact

Chaotic Dynamics 2012-10-17 v1

Abstract

We present an experimental and theoretical study of an unusual bursting mechanism in a two-mode semiconductor laser with single-mode optical injection. By tuning the strength and frequency of the injected light we find a transition from purely single-mode intensity oscillations to bursting in the intensity of the uninjected mode. We explain this phenomenon on the basis of a simple two-dimensional dynamical system, and show that the bursting in our experiment is organised by a cusp-pitchfork bifurcation of limit cycles.

Keywords

Cite

@article{arxiv.1210.4484,
  title  = {Bursting: when a cusp and a pitchfork interact},
  author = {Nicholas Blackbeard and Simon Osborne and Stephen O'Brien and Andreas Amann},
  journal= {arXiv preprint arXiv:1210.4484},
  year   = {2012}
}
R2 v1 2026-06-21T22:22:48.416Z