The browser you are using is not supported by this website. All versions of Internet Explorer are no longer supported, either by us or Microsoft (read more here: https://www.microsoft.com/en-us/microsoft-365/windows/end-of-ie-support).

Please use a modern browser to fully experience our website, such as the newest versions of Edge, Chrome, Firefox or Safari etc.

Resonance structure in a weakly detuned laser with injected signal

På svenska

Author

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.

Department/s

Publishing year

2001

Language

English

Pages

2587-2605

Publication/Series

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volume

11

Issue

10

Document type

Journal article

Publisher

World Scientific Publishing

Topic

  • Mathematics

Keywords

  • laser with injected signal
  • resonance structures
  • global bifurcations

Status

Published

Research group

  • Analysis and Dynamics
  • Dynamical systems

ISBN/ISSN/Other

  • ISSN: 0218-1274