Resonance structure in a weakly detuned laser with injected signal

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 solutio...

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Autores principales: Natiello, Mario Alberto, Zimmermann, Martín G.
Publicado: 2001
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02181274_v11_n10_p2587_Mayol
http://hdl.handle.net/20.500.12110/paper_02181274_v11_n10_p2587_Mayol
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_02181274_v11_n10_p2587_Mayol
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spelling paper:paper_02181274_v11_n10_p2587_Mayol2023-06-08T15:21:18Z Resonance structure in a weakly detuned laser with injected signal Natiello, Mario Alberto Zimmermann, Martín G. 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. Fil:Natiello, M.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Zimmermann, M.G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2001 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02181274_v11_n10_p2587_Mayol http://hdl.handle.net/20.500.12110/paper_02181274_v11_n10_p2587_Mayol
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description 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 Natiello, Mario Alberto
Zimmermann, Martín G.
spellingShingle Natiello, Mario Alberto
Zimmermann, Martín G.
Resonance structure in a weakly detuned laser with injected signal
author_facet Natiello, Mario Alberto
Zimmermann, Martín G.
author_sort Natiello, Mario Alberto
title Resonance structure in a weakly detuned laser with injected signal
title_short Resonance structure in a weakly detuned laser with injected signal
title_full Resonance structure in a weakly detuned laser with injected signal
title_fullStr Resonance structure in a weakly detuned laser with injected signal
title_full_unstemmed Resonance structure in a weakly detuned laser with injected signal
title_sort resonance structure in a weakly detuned laser with injected signal
publishDate 2001
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02181274_v11_n10_p2587_Mayol
http://hdl.handle.net/20.500.12110/paper_02181274_v11_n10_p2587_Mayol
work_keys_str_mv AT natiellomarioalberto resonancestructureinaweaklydetunedlaserwithinjectedsignal
AT zimmermannmarting resonancestructureinaweaklydetunedlaserwithinjectedsignal
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