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Teoreticheskaya i Matematicheskaya Fizika, 2013, Volume 176, Number 3, Pages 494–512
DOI: https://doi.org/10.4213/tmf8538 (Mi tmf8538) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Clustering of a positive random field as a law of Nature

V. I. Klyatskin

Obukhov Institute for Physics of the~Atmosphere, RAS, Moscow, Russia
Full-text PDF (719 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf8538
Abstract: In parametrically excited stochastic dynamical systems, spatial structures can form with probability one (clustering) in almost every realization because of rare events occurring with a probability that tends to zero. Such problems occur in hydrodynamics, magnetohydrodynamics, plasma physics, astrophysics, and radiophysics.
Keywords: intermittency, Lyapunov characteristic parameter, dynamical localization, statistical topography, clustering.
Received: 07.04.2013
English version:
Theoretical and Mathematical Physics, 2013, Volume 176, Issue 3, Pages 1252–1266
DOI: https://doi.org/10.1007/s11232-013-0104-3
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. I. Klyatskin, “Clustering of a positive random field as a law of Nature”, TMF, 176:3 (2013), 494–512; Theoret. and Math. Phys., 176:3 (2013), 1252–1266
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf8538
  • https://doi.org/10.4213/tmf8538
  • https://www.mathnet.ru/eng/tmf/v176/i3/p494
    • This publication is cited in the following 5 articles:
    1. V. Klyatskin, Fundamentals of stochastic nature sciences, Understanding Complex Systems (Springer Complexity), Springer International Publishing Ag, 2017, 190 pp.  crossref  mathscinet  isi
    2. V. I. Klyatskin, “Stochastic structure formation in random media”, Phys. Usp., 59:1 (2016), 67–95  mathnet  crossref  crossref  adsnasa  isi  elib
    3. V. I. Klyatskin, K. V. Koshel', “Statistical structuring theory in parametrically excitable dynamical systems with a Gaussian pump”, Theoret. and Math. Phys., 186:3 (2016), 411–429  mathnet  crossref  crossref  mathscinet  isi  elib
    4. V. I. Klyatskin, K. V. Koshel, “Anomalous sea surface structures as an object of statistical topography”, Phys. Rev. E, 91:6 (2015)  crossref
    5. V. I. Klyatskin, “Anomalous waves as an object of statistical topography: Problem statement”, Theoret. and Math. Phys., 180:1 (2014), 850–861  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:77
    First page:21
     
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