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JOURNALS // Computer Research and Modeling // Archive

Computer Research and Modeling, 2015 Volume 7, Issue 6, Pages 1177–1184 (Mi crm287)

This article is cited 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.

UDC: 519.8

Received: 15.07.2015
Revised: 12.12.2015

DOI: 10.20537/2076-7633-2015-7-6-1177-1184



© Steklov Math. Inst. of RAS, 2024