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Model. Anal. Inform. Sist., 2011, Volume 18, Number 3, Pages 58–62 (Mi mais186)  

This article is cited in 4 scientific papers (total in 4 papers)

Analysis of running waves stability in the Ginzburg–Landau equation with small diffusion

A. A. Kashchenko

P. G. Demidov Yaroslavl State University

Abstract: We study the local dynamics of the Ginzburg–Landau equation with small diffusion in a neibourhood of running waves. We find necessary conditions of running waves instability and sufficient conditions of their stability.

Keywords: running wave, small parameter, Ginzburg–Landau equation.

Full text: PDF file (427 kB)
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UDC: 517.9
Received: 01.09.2011

Citation: A. A. Kashchenko, “Analysis of running waves stability in the Ginzburg–Landau equation with small diffusion”, Model. Anal. Inform. Sist., 18:3 (2011), 58–62

Citation in format AMSBIB
\Bibitem{Kas11}
\by A.~A.~Kashchenko
\paper Analysis of running waves stability in the Ginzburg--Landau equation with small diffusion
\jour Model. Anal. Inform. Sist.
\yr 2011
\vol 18
\issue 3
\pages 58--62
\mathnet{http://mi.mathnet.ru/mais186}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. S. V. Aleshin, S. D. Glyzin, S. A. Kaschenko, “Uravnenie Kolmogorova–Petrovskogo–Piskunova s zapazdyvaniem”, Model. i analiz inform. sistem, 22:2 (2015), 304–321  mathnet  mathscinet  elib
    2. S. A. Kaschenko, “O bifurkatsiyakh pri malykh vozmuscheniyakh v logisticheskom uravnenii s zapazdyvaniem”, Model. i analiz inform. sistem, 24:2 (2017), 168–185  mathnet  crossref  elib
    3. S. A. Kashchenko, “Bifurcations in Kuramoto–Sivashinsky equations”, Theoret. and Math. Phys., 192:1 (2017), 958–973  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    4. Aleshin S., Glyzin S., Kaschenko S., “Waves Interaction in the Fisher-Kolmogorov Equation With Arguments Deviation”, Lobachevskii J. Math., 38:1 (2017), 24–29  crossref  mathscinet  zmath  isi  scopus
  • Моделирование и анализ информационных систем
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