Resonance structure in a weakly detuned laser with injected signal

Catalina Mayol, Mario Natiello, Martin Zimmermann

Forskningsoutput: TidskriftsbidragArtikel i vetenskaplig tidskriftPeer review


We describe the qualitative dynamics and bifurcation set for a laser with injected signal for small cavity detunings. The main organizing center is the Hopf-saddle-node bifurcation from where a secondary Hopf bifurcation of a periodic orbit originates. We show that the laser's stable cw solution existing for low injections, also suffers a secondary Hopf bifurcation. The resonance structure of both tori interact, and homoclinic orbits to the "off" state are found inside each Arnold tongue. The accumulation of all the above resonances towards the Hopf-saddle-node singularity points to the occurrence of a highly degenerate global bifurcation at the codimension-2 point.
Sidor (från-till)2587-2605
TidskriftInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
StatusPublished - 2001

Bibliografisk information

The fulltext is available for licensed LU users at the database Academic Search Complete:,uid&profile=ehost&defaultdb=a9h

Ämnesklassifikation (UKÄ)

  • Matematik


Utforska forskningsämnen för ”Resonance structure in a weakly detuned laser with injected signal”. Tillsammans bildar de ett unikt fingeravtryck.

Citera det här