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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
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
Año:1997
Volumen:109
Número:3-4
Página de inicio:293
Página de fin:314
DOI: http://dx.doi.org/10.1016/S0167-2789(97)00070-5
Título revista:Physica D: Nonlinear Phenomena
Título revista abreviado:Phys D Nonlinear Phenom
ISSN:01672789
CODEN:PDNPD
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