Resonance structure in a weakly detuned laser with injected signal
(2001) In International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 11(10). p.2587-2605- Abstract
- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4153517
- author
- Mayol, Catalina ; Natiello, Mario LU and Zimmermann, Martin
- organization
- publishing date
- 2001
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- laser with injected signal, resonance structures, global bifurcations
- in
- International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
- volume
- 11
- issue
- 10
- pages
- 2587 - 2605
- publisher
- World Scientific Publishing
- external identifiers
-
- scopus:0035488684
- ISSN
- 0218-1274
- DOI
- 10.1142/S0218127401003693
- language
- English
- LU publication?
- yes
- additional info
- The fulltext is available for licensed LU users at the database Academic Search Complete: http://ludwig.lub.lu.se/login?url=http://search.ebscohost.com/login.aspx?authtype=ip,uid&profile=ehost&defaultdb=a9h
- id
- 17c358ba-1dbe-45a9-bad9-017dd27606ae (old id 4153517)
- alternative location
- http://www.worldscientific.com/doi/abs/10.1142/S0218127401003693
- date added to LUP
- 2016-04-01 15:42:59
- date last changed
- 2022-04-14 23:29:17
@article{17c358ba-1dbe-45a9-bad9-017dd27606ae, abstract = {{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.}}, author = {{Mayol, Catalina and Natiello, Mario and Zimmermann, Martin}}, issn = {{0218-1274}}, keywords = {{laser with injected signal; resonance structures; global bifurcations}}, language = {{eng}}, number = {{10}}, pages = {{2587--2605}}, publisher = {{World Scientific Publishing}}, series = {{International Journal of Bifurcation and Chaos in Applied Sciences and Engineering}}, title = {{Resonance structure in a weakly detuned laser with injected signal}}, url = {{http://dx.doi.org/10.1142/S0218127401003693}}, doi = {{10.1142/S0218127401003693}}, volume = {{11}}, year = {{2001}}, }