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Computer Research and Modeling, 2015, Volume 7, Issue 6, Pages 1177–1184
DOI: https://doi.org/10.20537/2076-7633-2015-7-6-1177-1184
(Mi crm287)
 

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

MATHEMATICAL MODELING AND NUMERICAL SIMULATION

The mechanism of formation of oscillons — localized oscillatory structures

M. B. Kuznetsov, A. A. Polezhaev

P. N. Lebedev Physical Institute of the Russian Academy of Sciences, 53 Leninskiy pr., Moscow, 119991, Russia
Full-text PDF (447 kB) Citations (3)
References:
Abstract: A formal model mechanism of oscillon formation is proposed. These structures were found in avariety of physical systems and a chemical Belousov–Jabotinsky reaction proceeding in an aerosol OT water-in-oil microemulsion. Via the proposed mechanism oscillons occur as a result of interaction of two subsystems. In the first subsystem for a proper set of parameters solitary stationary structures may arise as a result of hard local excitation. These structures influence spatial distribution of the second subsystem parameter that leads to local oscillations in the subsystem.
Keywords: nonlinear dynamic systems, oscillon, localized stationary structures.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00196
15-02-03236
Received: 15.07.2015
Revised: 12.12.2015
Document Type: Article
UDC: 519.8
Language: Russian
Citation: M. B. Kuznetsov, A. A. Polezhaev, “The mechanism of formation of oscillons — localized oscillatory structures”, Computer Research and Modeling, 7:6 (2015), 1177–1184
Citation in format AMSBIB
\Bibitem{KuzPol15}
\by M.~B.~Kuznetsov, A.~A.~Polezhaev
\paper The mechanism of formation of oscillons --- localized oscillatory structures
\jour Computer Research and Modeling
\yr 2015
\vol 7
\issue 6
\pages 1177--1184
\mathnet{http://mi.mathnet.ru/crm287}
\crossref{https://doi.org/10.20537/2076-7633-2015-7-6-1177-1184}
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  • https://www.mathnet.ru/eng/crm/v7/i6/p1177
  • 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
    Computer Research and Modeling
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    References:23
     
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