How a small noise generates large-amplitude oscillations of volcanic plug and provides high seismicity

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. Vari...

Full description

Saved in:
Bibliographic Details
Published in:The European physical journal. B, Condensed matter physics Condensed matter physics, 2015-04, Vol.88 (4), Article 106
Main Authors: Alexandrov, Dmitri V., Bashkirtseva, Irina A., Ryashko, Lev B.
Format: Article
Language:English
Subjects:
Complex Systems
Condensed Matter Physics
Fluid- and Aerodynamics
Physics
Physics and Astronomy
Regular Article
Solid State Physics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1434-6028
1434-6036
DOI:10.1140/epjb/e2015-60130-6