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Titel |
Analysis of stochastic model for non-linear volcanic dynamics |
VerfasserIn |
D. Alexandrov, I. Bashkirtseva, L. Ryashko |
Medientyp |
Artikel
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Sprache |
Englisch
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ISSN |
2198-5634
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Digitales Dokument |
URL |
Erschienen |
In: Nonlinear Processes in Geophysics Discussions ; 1, no. 2 ; Nr. 1, no. 2 (2014-12-03), S.1735-1755 |
Datensatznummer |
250115133
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Publikation (Nr.) |
copernicus.org/npgd-1-1735-2014.pdf |
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Zusammenfassung |
Motivated by important geophysical applications we consider
a dynamic model of the magma-plug system previously derived by
Iverson et al. (2006) under the influence of stochastic forcing. Due
to strong nonlinearity of the friction force for solid plug along
its margins, the initial deterministic system exhibits impulsive
oscillations. Two types of dynamic behavior of the system under the
influence of the parametric stochastic forcing have been found:
random trajectories are scattered on both sides of the deterministic
cycle or grouped on its internal side only. It is shown that
dispersions are highly inhomogeneous along cycles in the presence of
noises. The effects of noise-induced shifts, pressure stabilization
and localization of random trajectories have been revealed with
increasing the noise intensity. The plug velocity, pressure and
displacement are highly dependent of noise intensity as well. These
new stochastic phenomena are related with the nonlinear
peculiarities of the deterministic phase portrait. It is
demonstrated that the repetitive stick-slip motions of the
magma-plug system in the case of stochastic forcing can be connected
with drumbeat earthquakes. |
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