World Library  


Add to Book Shelf
Flag as Inappropriate
Email this Book

Analysis of Stochastic Model for Nonlinear Volcanic Dynamics : Volume 22, Issue 2 (07/04/2015)

By Alexandrov, D. V.

Click here to view

Book Id: WPLBN0004017177
Format Type: PDF Article :
File Size: Pages 8
Reproduction Date: 2015

Title: Analysis of Stochastic Model for Nonlinear Volcanic Dynamics : Volume 22, Issue 2 (07/04/2015)  
Author: Alexandrov, D. V.
Volume: Vol. 22, Issue 2
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Historic
Publication Date:
2015
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications

Citation

APA MLA Chicago

Alexandrov, D. V., Ryashko, L. B., & Bashkirtseva, I. A. (2015). Analysis of Stochastic Model for Nonlinear Volcanic Dynamics : Volume 22, Issue 2 (07/04/2015). Retrieved from http://hawaiilibrary.net/


Description
Description: Department of Mathematical Physics, Ural Federal University, Lenin ave. 51, 620000 Ekaterinburg, Russia. 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.

Summary
Analysis of stochastic model for nonlinear volcanic dynamics

Excerpt
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, doi:10.3402/tellusa.v66.23454, 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, doi:10.1142/S0218127413501320, 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, doi:10.1063/1.4732543, 2012.; Bashkirtseva, I., Neiman, A. B., and Ryashko, L.: Stochastic sensitivity analysis of the noise-induced excitability in a model of a hair bundle, Phys. Rev. E, 87, 052711, doi:10.1103/PhysRevE.87.052711, 2013.; Bebbington, M. S. and Marzocchi, W.: Stochastic models for earthquake triggering of volcanic eruptions, J. Geophys. Res., 116, B05204, doi:10.1029/2010JB008114, 2011.; Costa, A., Wadge, G., and Melnik, O.: Cyclic extrusion of a lava dome based on a stick-slip mechanism, Earth Planet. Sci. Lett., 337–338, 39–46, 2012.; Denlinger, R. P. and Hoblitt, R. P.: Cyclic behavior of cilicic volcanoes, Geology, 27, 459–462, 1999.; Gardiner, C.: Stochastic Methods: A Handbook for the Natural and Social Sciences, Springer, Berlin, 2009.; Horsthemke, W. and Lefever, R.: Noise-Induced Transitions: Theory and Applications in Physics, Chemistry, and Biology, Springer, Berlin, 1984.; Iverson, R. M., Dzurisin, D., Gardner, C. A., Gerlach, T. M., LaHusen, R. G., Lisowski, M., Major, J. J., Malone, S. D., Messerich, J. A., Moran, S. C., Pallister, J. S., Qamar, A. I., Schilling, S. P., and Vallance, J. W.: Dynamics of seismogenic volcanic extrusion at Mount St Helens in 2004–05, Nature, 444, 439–443, 2006.; Lai, Y. C. and Tél, T.: Transient Chaos: Complex Dynamics on Finite Time Scales, Springer, Berlin, 2011.; Lindner, B., Garcia-Ojalvo, J., Neiman, A., and Schimansky-Geier, L.: Effects of noise in excitable systems, Phys. Rep., 392, 321–424, 2004.; Matoza, R. S. and Chouet, B. A.: Subevents of long-period seismicity: Implications for hydrothermal dynamics during the 2004–2008 eruption of Mount St. Helens, J. Geophys. Res., 115, B12206, doi:10.1029/2010JB007839, 2010.; McDonnell, M. D., Stocks, N. G., Pearce, C. E. M., and Abbott, D.: Stochastic Resonance: from Suprathreshold Stochastic Resonance to Stochastic Signal Quantization, Cambridge University Press, Cambridge, 2008.; Melnik, O. E. and Sparks, R. S. J.: Nonlinear dynamics of lava dome extrusion, Nature, 402, 37–41, 1999.; Michaut, C., Ricard, Y., Bercovici, D., and Sparks, R. S. J.: Eruption cyclicity at silicic volcanoes potentially caused by magmatic gas waves, Nat. Geosci., 6, 856–860, 2013.; Moore, P. L., Iverson, N. R., and Iverson, R. M.: Frictional properties of the Mount St Helens gouge, US Geological Survey Professional Paper 1750, US Geological Survey, Reston, Virginia, 2008.; Nakanishi, M. and Koyaguchi, T.: A stability analysis of a conduit flow model for lava dome eruptions, J. Volcanol. Geoth. Res., 178, 46–57, 2008.; Pikovsky, A. S. and Kurths, J.: Coherence resonance in a noise-driven excitable system, Phys. Rev. Lett., 78, 775–778, 1997.; Saltzman, B.: Dynamical Paleoclimatology: Generalised Theo

 

Click To View

Additional Books


  • Lagrangian Transport in a Circular Lake:... (by )
  • The Interaction of Free Rossby Waves wit... (by )
  • Oscillations in a Simple Climate–vegetat... (by )
  • Analysis of Global Geomagnetic Variabili... (by )
  • Record-breaking Earthquake Intervals in ... (by )
  • A Dynamical Systems Perspective on the A... (by )
  • Anomalous Diffusion in Geophysical and L... (by )
  • Forced Versus Coupled Dynamics in Earth ... (by )
  • Turbulence in Nearly Incompressible Flui... (by )
  • A Top-down Model to Generate Ensembles o... (by )
  • Intergyre Transport in a Wind-driven, Qu... (by )
  • Brief Communication on One Mechanism of ... (by )
Scroll Left
Scroll Right

 



Copyright © World Library Foundation. All rights reserved. eBooks from Hawaii eBook Library are sponsored by the World Library Foundation,
a 501c(4) Member's Support Non-Profit Organization, and is NOT affiliated with any governmental agency or department.