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Matematicheskoe modelirovanie, 2014, Volume 26, Number 11, Pages 123–136 (Mi mm3549)  

This article is cited in 3 scientific papers (total in 3 papers)

On modeling of distortions suppression in nonlinear optical system with delayed feedback loop

T. E. Romanenko, A. V. Razgulin

Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics, 119991, Moscow, Leninskie gory, 1-52
Full-text PDF (791 kB) Citations (3)
References:
Abstract: This paper deals with the effect of suppression of phase distortions for an optical system with feedback described by parabolic functional differential equation with time delay and spatial shift. Simplified model of delayed differential equations is proposed. It allows one to perform the analytical study of suppression of harmonic distortions. The obtained results are compared with the results of numerical modelling for the initial problem, focused on how rotation and delay affect on distortion suppression.
Keywords: delay, functional differential equation, feedback optical system, stability, suppression of distortions.
Received: 13.02.2014
English version:
Mathematical Models and Computer Simulations, 2015, Volume 7, Issue 3, Pages 259–270
DOI: https://doi.org/10.1134/S2070048215030096
Bibliographic databases:
Document Type: Article
UDC: 517.929, 517.95, 51-73
Language: Russian
Citation: T. E. Romanenko, A. V. Razgulin, “On modeling of distortions suppression in nonlinear optical system with delayed feedback loop”, Matem. Mod., 26:11 (2014), 123–136; Math. Models Comput. Simul., 7:3 (2015), 259–270
Citation in format AMSBIB
\Bibitem{RomRaz14}
\by T.~E.~Romanenko, A.~V.~Razgulin
\paper On modeling of distortions suppression in nonlinear optical system with delayed feedback loop
\jour Matem. Mod.
\yr 2014
\vol 26
\issue 11
\pages 123--136
\mathnet{http://mi.mathnet.ru/mm3549}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3541385}
\transl
\jour Math. Models Comput. Simul.
\yr 2015
\vol 7
\issue 3
\pages 259--270
\crossref{https://doi.org/10.1134/S2070048215030096}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84930643599}
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  • https://www.mathnet.ru/eng/mm/v26/i11/p123
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
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    Abstract page:300
    Full-text PDF :130
    References:53
    First page:11
     
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