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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
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.
Received: 15.07.2015 Revised: 12.12.2015
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
Linking options:
https://www.mathnet.ru/eng/crm287 https://www.mathnet.ru/eng/crm/v7/i6/p1177
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