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Regul. Chaotic Dyn., 2015, Volume 20, Issue 2, Pages 173–183 (Mi rcd51)  

This article is cited in 2 scientific papers (total in 2 papers)

Stability of Continuous Wave Solutions of One Laser Model with Large Delay

Alexandra A. Kashchenko

Mathematical Department, P. G. Demidov Yaroslavl State University, ul. Sovetskaya 14, Yaroslavl, 150000 Russia

Abstract: Analysis of a delay differential laser model with large delay is presented. Sufficient conditions for existence of continuous wave solutions are found. It is shown that parameters determining the main part of asymptotics of these solutions lie on a bell-like curve. Sufficient conditions for stability of continuos wave solutions are found. The number of stability regions on bell-like curves is studied. It is proved that more than one region of stability may exist on these curves. It is shown that solutions with the same main part of asymptotics may have different stability properties if we change the value of linewidth enhancement factor. A mechanism for the destabilization of continuous wave solutions is found.

Keywords: large delay, stability, laser dynamics, asymptotic methods

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation 984
This research was supported by project No. 984 within the base part of state assignment on research in YarSU.


DOI: https://doi.org/10.1134/S1560354715020057

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Bibliographic databases:

MSC: 34K13, 34K20, 37N20
Received: 17.05.2014
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Citation: Alexandra A. Kashchenko, “Stability of Continuous Wave Solutions of One Laser Model with Large Delay”, Regul. Chaotic Dyn., 20:2 (2015), 173–183

Citation in format AMSBIB
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\by Alexandra A. Kashchenko
\paper Stability of Continuous Wave Solutions of One Laser Model with Large Delay
\jour Regul. Chaotic Dyn.
\yr 2015
\vol 20
\issue 2
\pages 173--183
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. A. Kaschenko, “Ustoichivost nepreryvnykh voln dlya modeli poluprovodnikovogo lazera s bolshim zapazdyvaniem”, Model. i analiz inform. sistem, 22:3 (2015), 420–438  mathnet  crossref  mathscinet  elib
    2. A. Kashchenko, “Stability of external cavity modes in the model of semiconductor laser with large delay”, Nonlinear Phenom. Complex Syst., 20:1, SI (2017), 12–20  mathscinet  zmath  isi
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