Resonance structure in a weakly detuned laser with injected signal

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.

• Författare: Catalina Mayol; Mario Natiello; Martin Zimmermann
• 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: http://www.worldscientific.com/doi/abs/10.1142/S0218127401003693; http://dx.doi.org/10.1142/S0218127401003693
• 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