Šil'nikov-saddle-node interaction near a codimension-2 bifurcation: Laser with injected signal

We describe a Šil'nikov-saddle-node interaction in the proximity of a Hopf-saddle-node bifurcation both from numerical and theoretical viewpoints, inspired by numerical observations on a three-dimensional model of a laser with injected signal. We describe the interaction near the codimension-2...

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Autores principales: Zimmermann, M.G., Natiello, M.A., Solari, H.G.
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_01672789_v109_n3-4_p293_Zimmermann
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_01672789_v109_n3-4_p293_Zimmermann2023-10-03T15:04:34Z Šil'nikov-saddle-node interaction near a codimension-2 bifurcation: Laser with injected signal Zimmermann, M.G. Natiello, M.A. Solari, H.G. We describe a Šil'nikov-saddle-node interaction in the proximity of a Hopf-saddle-node bifurcation both from numerical and theoretical viewpoints, inspired by numerical observations on a three-dimensional model of a laser with injected signal. We describe the interaction near the codimension-2 point using a return map controlled by the parameters of the bifurcation. The theoretical predictions compare well with numerical experiments. Finally, we discuss the reasons for the existence of the Šil'nikov-saddle-node bifurcation in the laser with injected signal, and correspondingly, the characteristics of other systems that might display this bifurcation. Copyright © 1997 Elsevier Science B.V. All rights reserved. Fil:Zimmermann, M.G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Natiello, M.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Solari, H.G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_01672789_v109_n3-4_p293_Zimmermann
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 a Šil'nikov-saddle-node interaction in the proximity of a Hopf-saddle-node bifurcation both from numerical and theoretical viewpoints, inspired by numerical observations on a three-dimensional model of a laser with injected signal. We describe the interaction near the codimension-2 point using a return map controlled by the parameters of the bifurcation. The theoretical predictions compare well with numerical experiments. Finally, we discuss the reasons for the existence of the Šil'nikov-saddle-node bifurcation in the laser with injected signal, and correspondingly, the characteristics of other systems that might display this bifurcation. Copyright © 1997 Elsevier Science B.V. All rights reserved.
format JOUR
author Zimmermann, M.G.
Natiello, M.A.
Solari, H.G.
spellingShingle Zimmermann, M.G.
Natiello, M.A.
Solari, H.G.
Šil'nikov-saddle-node interaction near a codimension-2 bifurcation: Laser with injected signal
author_facet Zimmermann, M.G.
Natiello, M.A.
Solari, H.G.
author_sort Zimmermann, M.G.
title Šil'nikov-saddle-node interaction near a codimension-2 bifurcation: Laser with injected signal
title_short Šil'nikov-saddle-node interaction near a codimension-2 bifurcation: Laser with injected signal
title_full Šil'nikov-saddle-node interaction near a codimension-2 bifurcation: Laser with injected signal
title_fullStr Šil'nikov-saddle-node interaction near a codimension-2 bifurcation: Laser with injected signal
title_full_unstemmed Šil'nikov-saddle-node interaction near a codimension-2 bifurcation: Laser with injected signal
title_sort šil'nikov-saddle-node interaction near a codimension-2 bifurcation: laser with injected signal
url http://hdl.handle.net/20.500.12110/paper_01672789_v109_n3-4_p293_Zimmermann
work_keys_str_mv AT zimmermannmg silnikovsaddlenodeinteractionnearacodimension2bifurcationlaserwithinjectedsignal
AT natielloma silnikovsaddlenodeinteractionnearacodimension2bifurcationlaserwithinjectedsignal
AT solarihg silnikovsaddlenodeinteractionnearacodimension2bifurcationlaserwithinjectedsignal
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