Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2013, Number 4, Pages 46–51 (Mi vmumm423)  
This article is cited in 2 scientific papers (total in 2 papers)

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Mean exit time for a chain of $N=2,3,4$ oscillators

S. A. Muzychka

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (230 kB) Citations (2)
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Abstract: An asymptotic formula is obtained for an average time of rupture for a chain of harmonic oscillators consisted of $N=2,3,4$ particles with nearest-neighbor interaction and random external force.
Key words: system of harmonic oscillators, large deviations, Markov process, mean exit time.
Received: 13.02.2012
English version:
Moscow University Mathematics Bulletin, 2013, Volume 68, Issue 4, Pages 206–210
DOI: https://doi.org/10.3103/S0027132213040086
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: S. A. Muzychka, “Mean exit time for a chain of $N=2,3,4$ oscillators”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2013, no. 4, 46–51; Moscow University Mathematics Bulletin, 68:4 (2013), 206–210
Citation in format AMSBIB
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\by S.~A.~Muzychka
\paper Mean exit time for a chain of $N=2,3,4$ oscillators
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2013
\issue 4
\pages 46--51
\mathnet{http://mi.mathnet.ru/vmumm423}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3227941}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2013
\vol 68
\issue 4
\pages 206--210
\crossref{https://doi.org/10.3103/S0027132213040086}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84883623090}
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    • This publication is cited in the following 2 articles:
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