Noise-induced variability of volcanic extrusions / Alexandrov D.V., Bashkirtseva I.A., Ryashko L.B. // EPL. - 2016. - V. 116, l. 4.

ISSN:

02955075

Type:

Article

Abstract:

Motivated by important physical applications, we study a non-linear dynamics of volcanic extrusions on the basis of a simple pressure-mass flow model. We demonstrate that the deterministic phase portrait represents either the bulbous-type curves or closed paths stretched to their left depending on the initial conditions. The period of phase trajectories therewith increases when the pressure drop between the conduit top and bottom compensates the lava column pressure in it. Stochastic forcing changes the system dynamics drastically. We show that a repetitive scenario of volcanic behaviour with intermittency of stochastic oscillations of different extrusion amplitudes and frequencies appears in the presence of noises. As this takes place, the mean values of interspike intervals characterizing the system periodicity have a tendency to grow with increasing the noise intensity. The probability distribution functions confirming this dynamic behaviour are constructed. © CopyrightEPLA, 2016.

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DOI:

10.1209/0295-5075/116/40006

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https://www.scopus.com/inward/record.uri?eid=2-s2.0-85010683462&doi=10.1209%2f0295-5075%2f116%2f40006&partnerID=40&md5=9d795129b6be36de283b2aab29b03b8b

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Поле	Значение
Art. No.	40006
Link	https://www.scopus.com/inward/record.uri?eid=2-s2.0-85010683462&doi=10.1209%2f0295-5075%2f116%2f40006&partnerID=40&md5=9d795129b6be36de283b2aab29b03b8b
Affiliations	Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Ekaterinburg, Russian Federation
Funding Details	16-11-10095, RSF, Russian Science Foundation
Funding Text	This work was supported by the Russian Science Foundation (grant No. 16-11-10095).
References	Fink, H., Griffiths, R.W., (1998) J. Geophys. Res., 103 (B1), p. 527; Sigurdsson, H., Houghton, B., McNutt, S., Rymer, H., Stix, J., (2015) The Encyclopedia of Volcanoes, , second edition; Iverson, R.M., Dzurisin, D., Gardner, C.A., Gerlach, T.M., LaHusen, R.G., Lisowski, M., Major, J.J., Vallance, J.W., (2006) Nature, 444 (7118), p. 439; Lensky, N.G., Sparks, R.S.J., Navon, O., Lyakhovsky, V., (2008) Geol. Soc., London, Special Publ., 307 (1), p. 169; Anderson, K., Lisowski, M., Segall, P., (2010) J. Geophys. Res., 115 (B11); Lamb, O.D., De Angelis, S., Umakoshi, K., Hornby, A.J., Kendrick, J.E., Lavallée, Y., (2015) Solid Earth, 6 (4), p. 1277; Costa, A., Wadge, G., Melnik, O., (2012) Earth Planet. Sci. Lett., 337-338, p. 39; Denlinger, R.P., Hoblitt, R.P., (1999) Geology, 27 (5), p. 459; Bottiglieri, M., De Martino, S., Falanga, M., Godano, C., (2008) EPL, 81 (4); Alexandrov, D.V., Bashkirtseva, I.A., Ryashko, L.B., (2015) Nonlinear. Process. Geophys., 22 (2), p. 197; Alexandrov, D.V., Bashkirtseva, I.A., Ryashko, L.B., (2015) Eur. Phys. J. B, 88 (4), p. 106; Abe, S., Suzuki, N., (2015) EPL, 110 (5); Sparks, R.S.J., (2003) Earth Planet. Sci. Lett., 210 (1-2), p. 1; Bebbington, M.S., Marzocchi, W., (2011) J. Geophys. Res., 116 (B5); Horstemke, W., Lefever, R., (1984) Noise-Induced Transitions, , (Berlin: Springer); Alexandrov, D.V., Bashkirtseva, I.A., Ryashko, L.B., (2014) Tellus, 66; Alexandrov, D.V., Bashkirtseva, I.A., Fedotov, S.P., Ryashko, L.B., (2014) Eur. Phys. J. B, 87 (10), p. 227; McDonnell, M.D., Stocks, N.G., Pearce, C.E.M., Abbott, D., (2008) Stochastic Resonance: From Suprathreshold Stochastic Resonance to Stochastic Signal Quantization, , (Cambridge: Cambridge University Press); Pikovsky, A.S., Kurths, J., (1997) Phys. Rev. Lett., 78 (5), p. 775; Lai, Y.C., Tél, T., (2011) Transient Chaos: Complex Dynamics on Finite Time Scales, 173. , (Berlin: Springer); Alexandrov, D.V., Bashkirtseva, I.A., Ryashko, L.B., (2016) EPL, 115 (4); Alexandrov, D.V., Bashkirtseva, I.A., Ryashko, L.B., (2017) Earth Planet Sci. Lett., 459, p. 417; Hatzikiriakos, S.G., Dealy, J.M., (1991) J. Rheol., 35 (4), p. 497; Izhikevich, E.M., (2007) Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting, , (Cambridge: MIT Press); Green, D.N., Neuberg, J., (2006) J. Volcanol. Geotherm. Res., 153 (1-2), p. 51
Publisher	Institute of Physics Publishing
Language of Original Document	English
Abbreviated Source Title	EPL
Source	Scopus