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Nelin. Dinam., 2015, Volume 11, Number 1, Pages 77–87 (Mi nd465)  

This article is cited in 1 scientific paper (total in 1 paper)

Discrete breathers and multibreathers in the Peyrard–Bishop DNA model

Marat I. Fakhretdinov, Farit K. Zakirianov, Evgenii G. Ekomasov

Bashkir State University, 450076, Ufa, Zaki Validi Street, 32

Abstract: Discrete breathers and multibreathers are investigated within the Peyrard–Bishop model. Region of existence of discrete breathers and multibreathers is defined. One, two and three site discrete breathers solutions are obtained. Their properties and stability are investigated.

Keywords: discrete breathers, multibreathers, Peyrard–Bishop DNA model.

Full text: PDF file (798 kB)
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Document Type: Article
UDC: 539.2, 519.624
MSC: 34C15, 70K75
Received: 07.10.2014
Revised: 20.11.2014

Citation: Marat I. Fakhretdinov, Farit K. Zakirianov, Evgenii G. Ekomasov, “Discrete breathers and multibreathers in the Peyrard–Bishop DNA model”, Nelin. Dinam., 11:1 (2015), 77–87

Citation in format AMSBIB
\Bibitem{FakZakEko15}
\by Marat~I.~Fakhretdinov, Farit~K.~Zakirianov, Evgenii~G.~Ekomasov
\paper Discrete breathers and multibreathers in the Peyrard--Bishop DNA model
\jour Nelin. Dinam.
\yr 2015
\vol 11
\issue 1
\pages 77--87
\mathnet{http://mi.mathnet.ru/nd465}
\elib{http://elibrary.ru/item.asp?id=23051488}


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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. M. I. Fakhretdinov, F. K. Zakir'yanov, “Numerically exact mobile breathers in Peyrard-Bishop DNA model”, Lett. Mater., 6:1 (2016), 39–42  crossref  isi
  • Нелинейная динамика
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