Abstract:
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.
Registro:
Documento: |
Artículo
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Título: | Šil'nikov-saddle-node interaction near a codimension-2 bifurcation: Laser with injected signal |
Autor: | Zimmermann, M.G.; Natiello, M.A.; Solari, H.G. |
Filiación: | Department of Quantum Chemistry, Uppsala University, Box 518, S-751 20 Uppsala, Sweden Department of Mathematics, Royal Institute of Technology, S-100 40 Stockholm, Sweden Department de Física, Fac. Ciencias Exactas y Naturales, Ciudad Universitaria, 1428 Buenos Aires, Argentina
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Año: | 1997
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Volumen: | 109
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Número: | 3-4
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Página de inicio: | 293
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Página de fin: | 314
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DOI: |
http://dx.doi.org/10.1016/S0167-2789(97)00070-5 |
Título revista: | Physica D: Nonlinear Phenomena
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Título revista abreviado: | Phys D Nonlinear Phenom
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ISSN: | 01672789
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CODEN: | PDNPD
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01672789_v109_n3-4_p293_Zimmermann |
Referencias:
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Citas:
---------- APA ----------
Zimmermann, M.G., Natiello, M.A. & Solari, H.G.
(1997)
. Šil'nikov-saddle-node interaction near a codimension-2 bifurcation: Laser with injected signal. Physica D: Nonlinear Phenomena, 109(3-4), 293-314.
http://dx.doi.org/10.1016/S0167-2789(97)00070-5---------- CHICAGO ----------
Zimmermann, M.G., Natiello, M.A., Solari, H.G.
"Šil'nikov-saddle-node interaction near a codimension-2 bifurcation: Laser with injected signal"
. Physica D: Nonlinear Phenomena 109, no. 3-4
(1997) : 293-314.
http://dx.doi.org/10.1016/S0167-2789(97)00070-5---------- MLA ----------
Zimmermann, M.G., Natiello, M.A., Solari, H.G.
"Šil'nikov-saddle-node interaction near a codimension-2 bifurcation: Laser with injected signal"
. Physica D: Nonlinear Phenomena, vol. 109, no. 3-4, 1997, pp. 293-314.
http://dx.doi.org/10.1016/S0167-2789(97)00070-5---------- VANCOUVER ----------
Zimmermann, M.G., Natiello, M.A., Solari, H.G. Šil'nikov-saddle-node interaction near a codimension-2 bifurcation: Laser with injected signal. Phys D Nonlinear Phenom. 1997;109(3-4):293-314.
http://dx.doi.org/10.1016/S0167-2789(97)00070-5