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.
Registro:
Documento: |
Artículo
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Título: | Resonance structure in a weakly detuned laser with injected signal |
Autor: | Mayol, C.; Natiello, M.A.; Zimmermann, M.G. |
Filiación: | Departament de Física, Universitat de Les Illes Balears, Inst. Mediterraneo Estud. A., E-07071 Palma de Mallorca, Spain Centre for Mathematical Sciences, Lund University, Box 118, S-22100 Lund, Sweden Departamento de Física, FCEyN-Universidad de Buenos Aires, Pabellón I, Cd. Universitaria, 1428 Buenos Aires, Argentina
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Año: | 2001
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Volumen: | 11
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Número: | 10
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Página de inicio: | 2587
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Página de fin: | 2605
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DOI: |
http://dx.doi.org/10.1142/S0218127401003693 |
Título revista: | International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
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Título revista abreviado: | Int. J. Bifurcation Chaos Appl. Sci. Eng.
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ISSN: | 02181274
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02181274_v11_n10_p2587_Mayol |
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Citas:
---------- APA ----------
Mayol, C., Natiello, M.A. & Zimmermann, M.G.
(2001)
. Resonance structure in a weakly detuned laser with injected signal. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 11(10), 2587-2605.
http://dx.doi.org/10.1142/S0218127401003693---------- CHICAGO ----------
Mayol, C., Natiello, M.A., Zimmermann, M.G.
"Resonance structure in a weakly detuned laser with injected signal"
. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 11, no. 10
(2001) : 2587-2605.
http://dx.doi.org/10.1142/S0218127401003693---------- MLA ----------
Mayol, C., Natiello, M.A., Zimmermann, M.G.
"Resonance structure in a weakly detuned laser with injected signal"
. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, vol. 11, no. 10, 2001, pp. 2587-2605.
http://dx.doi.org/10.1142/S0218127401003693---------- VANCOUVER ----------
Mayol, C., Natiello, M.A., Zimmermann, M.G. Resonance structure in a weakly detuned laser with injected signal. Int. J. Bifurcation Chaos Appl. Sci. Eng. 2001;11(10):2587-2605.
http://dx.doi.org/10.1142/S0218127401003693