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Titel |
Analysis of stochastic model for nonlinear volcanic dynamics |
VerfasserIn |
D. V. Alexandrov, I. A. Bashkirtseva, L. B. Ryashko |
Medientyp |
Artikel
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Sprache |
Englisch
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ISSN |
1023-5809
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Digitales Dokument |
URL |
Erschienen |
In: Nonlinear Processes in Geophysics ; 22, no. 2 ; Nr. 22, no. 2 (2015-04-07), S.197-204 |
Datensatznummer |
250120974
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Publikation (Nr.) |
copernicus.org/npg-22-197-2015.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 a 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 by increasing the noise intensity. The plug
velocity, pressure and displacement are highly dependent of noise intensity
as well. These new stochastic phenomena are related to 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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