Discontinuity, Nonlinearity, and Complexity
Clustering of a Positive Random Field –What is This？
Discontinuity, Nonlinearity, and Complexity 4(3) (2015) 225242  DOI:10.5890/DNC.2015.09.002
V.I. Klyatskin
A. M. Obukhov Institute of Atmospheric Physics RAS, Moscow, Pyzhevsky per. 3, 119017, Russia
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Abstract
It is shown that, in parametrically excited stochastic dynamic systems described by partial differential equations, spatial structures (clusters) can appear with probability one, i.e., almost in every system realization, due to rare events happened with probability approaching to zero. The problems of such type arise in hydrodynamics, magnetohydrodynamics, physics of plasma, astrophysics, and radiophysics.
Acknowledgments
This work was supported by the RSF 142700134.
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