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Contemporary Mathematics. Fundamental Directions, 2003, Volume 2, Pages 70–82 (Mi cmfd22)  

This article is cited in 4 scientific papers (total in 4 papers)

Dynamics of Multisection Semiconductor Lasers

J. Siebera, L. Reckeb, K. R. Schneidera

a Weierstrass Institute for Applied Analysis and Stochastics
b Humboldt University, Department of Mathematics
Full-text PDF (507 kB) Citations (4)
References:
Abstract: We consider a mathematical model (the so-called traveling-wave system) which describes longitudinal dynamical effects in semiconductor lasers. This model consists of a linear hyperbolic system of PDEs, which is nonlinearly coupled with a slow subsystem of ODEs. We prove that a corresponding initial-boundary value problem is well posed and that it generates a smooth infinite-dimensional dynamical system. Exploiting the particular slow-fast structure, we derive conditions under which there exists a low-dimensional attracting invariant manifold. The flow on this invariant manifold is described by a system of ODEs. Mode approximations of that system are studied by means of bifurcation theory and numerical tools.
English version:
Journal of Mathematical Sciences, 2004, Volume 124, Issue 5, Pages 5298–5309
DOI: https://doi.org/10.1023/B:JOTH.0000047355.47744.18
Bibliographic databases:
UDC: 517.958+517.95
Language: Russian
Citation: J. Sieber, L. Recke, K. R. Schneider, “Dynamics of Multisection Semiconductor Lasers”, Proceedings of the International Conference on Differential and Functional-Differential Equations — Satellite of International Congress of Mathematicians ICM-2002 (Moscow, MAI, 11–17 August, 2002). Part 2, CMFD, 2, MAI, M., 2003, 70–82; Journal of Mathematical Sciences, 124:5 (2004), 5298–5309
Citation in format AMSBIB
\Bibitem{SieRecSch03}
\by J.~Sieber, L.~Recke, K.~R.~Schneider
\paper Dynamics of Multisection Semiconductor Lasers
\inbook Proceedings of the International Conference on Differential and Functional-Differential Equations --- Satellite of International Congress of Mathematicians ICM-2002 (Moscow, MAI, 11--17 August, 2002). Part~2
\serial CMFD
\yr 2003
\vol 2
\pages 70--82
\publ MAI
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd22}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2129136}
\zmath{https://zbmath.org/?q=an:1128.82022}
\transl
\jour Journal of Mathematical Sciences
\yr 2004
\vol 124
\issue 5
\pages 5298--5309
\crossref{https://doi.org/10.1023/B:JOTH.0000047355.47744.18}
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  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Современная математика. Фундаментальные направления
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    References:43
     
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