Resonance structure in a weakly detuned laser with injected signal
Författare
Summary, in English
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.
Avdelning/ar
- Matematik LTH
- Dynamical systems
Publiceringsår
2001
Språk
Engelska
Sidor
2587-2605
Publikation/Tidskrift/Serie
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volym
11
Issue
10
Länkar
Dokumenttyp
Artikel i tidskrift
Förlag
World Scientific Publishing
Ämne
- Mathematics
Nyckelord
- laser with injected signal
- resonance structures
- global bifurcations
Status
Published
Forskningsgrupp
- Analysis and Dynamics
- Dynamical systems
ISBN/ISSN/Övrigt
- ISSN: 0218-1274