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Ito equations out of domino cellular automaton with efficiency parameters

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Języki publikacji
EN
Abstrakty
EN
Ito equations are derived for simple stochastic cellular automaton with parameters describing efficiencies for avalanche triggering and cell occupation. Analytical results are compared with the numerical one obtained from the histogram method. Good agreement for various parameters supports the wide applicability of the Ito equation as a macroscopic model of some cellular automata and complex natural phenomena which manifest random energy release. Also, the paper is an example of effectiveness of histogram procedure as an adequate method of nonlinear modeling of time series.
Czasopismo
Rocznik
Strony
846--857
Opis fizyczny
Bibliogr. 23 poz.
Twórcy
autor
Bibliografia
  • Białecki, M., and Z. Czechowski (2010a), Analytic approach to stochastic cellular automata: exponential and inverse power distributions out of Random Domino Automaton, arXiv:1009.4609 [nlin.CG].
  • Białecki, M., and Z. Czechowski (2010b), On a simple stochastic cellular automaton with avalanches: simulation and analytical results. In: V. de Rubeis, Z. Czechowski, and R. Teisseyre (eds.), Synchronization and Triggering: from Fracture to Earthquake Processess, GeoPlanet: Earth and Planetary Sciences, Vol. 1, Springer, Berlin, 63-75, DOI: 10.1007/978-3-642-12300-9-5.
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  • Czechowski, Z., and M. Białecki (2010), Ito equations as macroscopic stochastic models of geophysical phenomena – construction of the models on the basis of time series. In: V. de Rubeis, Z. Czechowski, and R. Teisseyre (eds.), Synchronization and Triggering: from Fracture to Earthquake Processess, Geo-Planet: Earth and Planetary Sciences, Vol. 1, Springer, Berlin, 77-96, DOI: 10.1007/978-3-642-12300-9-6.
  • Czechowski, Z., and M. Białecki (2012), Three-level description of the domino cellular automaton, J. Phys. A: Math. Theor. 45, 155101, DOI:10.1088/1751-8113/45/15/155101.
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Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSL4-0017-0020
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