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.
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
\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}
Linking options:
https://www.mathnet.ru/eng/crm287
https://www.mathnet.ru/eng/crm/v7/i6/p1177
This publication is cited in the following 3 articles:
Eduard O. Yakupov, Vladimir V. Gubernov, Andrey A. Polezhaev, “Mathematical modeling of spatiotemporal patterns formed at a traveling reaction front”, Chaos: An Interdisciplinary Journal of Nonlinear Science, 30:8 (2020)
M. B. Kuznetsov, “Issledovanie formirovaniya struktur Tyuringa pod vliyaniem volnovoi neustoichivosti”, Kompyuternye issledovaniya i modelirovanie, 11:3 (2019), 397–412
Eduard O. Yakupov, Andrey A. Polezhaev, Vladimir V. Gubernov, Taisia P. Miroshnichenko, “Investigation of the mechanism of emergence of autowave structures at the reaction front”, Phys. Rev. E, 99:4 (2019)
Citation in format AMSBIB
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