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Contemporary Mathematics. Fundamental Directions, 2003, Volume 2, Pages 70–82
(Mi cmfd22)
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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
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.
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
Linking options:
https://www.mathnet.ru/eng/cmfd22 https://www.mathnet.ru/eng/cmfd/v2/p70
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Abstract page: | 247 | Full-text PDF : | 84 | References: | 43 |
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