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Regular and Chaotic Dynamics, 2006, Volume 11, Issue 2, Pages 213–224
DOI: https://doi.org/10.1070/RD2006v011n02ABEH000346
(Mi rcd669)
 

On the 70th birthday of L.P. Shilnikov

Quasiperiodic regimes in multisection semiconductor lasers

S. V. Gonchenkoa, K. R. Schneiderb, D. V. Turaevc

a Institute for Applied Mathematics and Cybernetics, 10, Uljanova Str. 603005 Nizhny Novgorod, Russia
b Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstr. 39, 10117 Berlin, Germany
c Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel
Abstract: We consider a mode approximation model for the longitudinal dynamics of a multisection semiconductor laser which represents a slow-fast system of ordinary differential equations for the electromagnetic field and the carrier densities. Under the condition that the number of active sections $q$ coincides with the number of critical eigenvalues we introduce a normal form which admits to establish the existence of invariant tori. The case $q = 2$ is investigated in more detail where we also derive conditions for the stability of the quasiperiodic regime.
Keywords: multisection semiconductor laser, averaging, mode approximation, invariant torus, normal form, stability.
Received: 29.07.2005
Accepted: 14.09.2005
Bibliographic databases:
Document Type: Article
Language: English
Citation: S. V. Gonchenko, K. R. Schneider, D. V. Turaev, “Quasiperiodic regimes in multisection semiconductor lasers”, Regul. Chaotic Dyn., 11:2 (2006), 213–224
Citation in format AMSBIB
\Bibitem{GonSchTur06}
\by S. V. Gonchenko, K. R. Schneider, D. V. Turaev
\paper Quasiperiodic regimes in multisection semiconductor lasers
\jour Regul. Chaotic Dyn.
\yr 2006
\vol 11
\issue 2
\pages 213--224
\mathnet{http://mi.mathnet.ru/rcd669}
\crossref{https://doi.org/10.1070/RD2006v011n02ABEH000346}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2245078}
\zmath{https://zbmath.org/?q=an:1164.78311}
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