Articles | Volume 22, issue 2
Research article
07 Apr 2015
Research article |  | 07 Apr 2015

Analysis of stochastic model for nonlinear volcanic dynamics

D. V. Alexandrov, I. A. Bashkirtseva, and L. B. Ryashko

Related subject area

Subject: Bifurcation, dynamical systems, chaos, phase transition, nonlinear waves, pattern formation | Topic: Solid earth, continental surface, biogeochemistry
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Cited articles

Alexandrov, D. V., Bashkirtseva, I. A., Malygin, A. P., and Ryashko, L. B.: Sea ice dynamics induced by external stochastic fluctuations, Pure Appl. Geophys., 170, 2273–2282, 2013.
Alexandrov, D. V., Bashkirtseva, I. A., and Ryashko, L. B.: Stochastically driven transitions between climate attractors, Tellus A, 66, 23454,, 2014.
Arathi, S., Rajasekar, S., and Kurths, J.: Stochastic and coherence resonances in a modified chua's circuit system with multi-scroll orbits, Int. J. Bifurcat. Chaos, 23, 1350132,, 2013.
Barmin, A., Melnik, O., and Sparks, R. S. J.: Periodic behavior in lava dome eruptions, Earth Planet. Sc. Lett., 199, 173–184, 2002.
Bashkirtseva, I., Chen, G., and Ryashko, L.: Analysis of noise-induced transitions from regular to chaotic oscillations in the Chen system, Chaos, 22, 033104,, 2012.
Short summary
We consider a dynamic model of the magma-plug system previously derived by Iverson R. M. et al. (2006, Nature, 444) under the influence of stochastic forcing. The effects of noise-induced shifts, pressure stabilization and localization of random trajectories have been revealed by increasing the noise intensity. 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.