How a small noise generates large-amplitude oscillations of volcanic plug and provides high seismicity / Alexandrov D.V., Bashkirtseva I.A., Ryashko L.B. // European Physical Journal B. - 2015. - V. 88, l. 4. - P. 1-8.

ISSN:

14346028

Type:

Article

Abstract:

A non-linear behavior of dynamic model of the magma-plug system under the action of N-shaped friction force and stochastic disturbances is studied. It is shown that the deterministic dynamics essentially depends on the mutual arrangement of an equilibrium point and the friction force branches. Variations of this arrangement imply bifurcations, birth and disappearance of stable limit cycles, changes of the stability of equilibria, system transformations between mono- and bistable regimes. A slope of the right increasing branch of the friction function is responsible for the formation of such regimes. In a bistable zone, the noise generates transitions between small and large amplitude stochastic oscillations. In a monostable zone with single stable equilibrium, a new dynamic phenomenon of noise-induced generation of large amplitude stochastic oscillations in the plug rate and pressure is revealed. A beat-type dynamics of the plug displacement under the influence of stochastic forcing is studied as well. © 2015, EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg.

Author keywords:

Index keywords:

Friction; Stochastic models; Tribology; Friction functions; Large amplitude oscillation; Stability of equilibrium; Stable equilibrium; Stable limit cycle; Stochastic disturbances; Stochastic forcing;

DOI:

10.1140/epjb/e2015-60130-6

Смотреть в Scopus:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-84928336228&doi=10.1140%2fepjb%2fe2015-60130-6&partnerID=40&md5=dc4d2d007b18b82fda97a49a67b9e9a8

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Поле	Значение
Link	https://www.scopus.com/inward/record.uri?eid=2-s2.0-84928336228&doi=10.1140%2fepjb%2fe2015-60130-6&partnerID=40&md5=dc4d2d007b18b82fda97a49a67b9e9a8
Affiliations	Department of Mathematical Physics, Ural Federal University, Lenina ave., 51, Ekaterinburg, Russian Federation
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Publisher	springer berlin
Language of Original Document	English
Abbreviated Source Title	Eur. Phys. J. B
Source	Scopus