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Teoreticheskaya i Matematicheskaya Fizika, 2023, Volume 215, Number 2, Pages 232–241
DOI: https://doi.org/10.4213/tmf10362 (Mi tmf10362) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Local dynamics of the model of a semiconductor laser with delay

I. S. Kashchenko, S. A. Kaschenko

Demidov Yaroslavl State University, Yaroslavl, Russia
Full-text PDF (517 kB) Citations (1)
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DOI: https://doi.org/10.4213/tmf10362
Abstract: We study a model of a semiconductor laser with delay. We discuss the stability of the equilibrium and single out bifurcation parameter values. It turns out that resultant critical cases have infinite dimensions. In the cases where the parameter values are close to critical ones, we constructed first-approximation equations for the asymptotic expansions of solution amplitudes. These equations are nonlinear boundary-value problems of parabolic type, containing integral terms in the nonlinearity in some cases. We present asymptotic formulas that relate solutions of the original model to the constructed boundary-value problems.
Keywords: delay, laser model, dynamics, asymptotics.
Funding agency Grant number
Russian Science Foundation 21-71-30011
The work was supported by the grant from the Russian Science Foundation (project No. 21-71-30011), https://rscf.ru/en/project/21-71-30011/.
Received: 04.09.2022
Revised: 02.10.2022
English version:
Theoretical and Mathematical Physics, 2023, Volume 215, Issue 2, Pages 658–666
DOI: https://doi.org/10.1134/S0040577923050069
Bibliographic databases:
Document Type: Article
MSC: 37G05
Language: Russian
Citation: I. S. Kashchenko, S. A. Kaschenko, “Local dynamics of the model of a semiconductor laser with delay”, TMF, 215:2 (2023), 232–241; Theoret. and Math. Phys., 215:2 (2023), 658–666
Citation in format AMSBIB
\Bibitem{KasKas23}
\by I.~S.~Kashchenko, S.~A.~Kaschenko
\paper Local dynamics of the~model of a~semiconductor laser with delay
\jour TMF
\yr 2023
\vol 215
\issue 2
\pages 232--241
\mathnet{http://mi.mathnet.ru/tmf10362}
\crossref{https://doi.org/10.4213/tmf10362}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4602483}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2023TMP...215..658K}
\transl
\jour Theoret. and Math. Phys.
\yr 2023
\vol 215
\issue 2
\pages 658--666
\crossref{https://doi.org/10.1134/S0040577923050069}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85159454240}
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  • https://www.mathnet.ru/eng/tmf/v215/i2/p232
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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