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Preprints of the Keldysh Institute of Applied Mathematics, 1995, 086 (Mi ipmp1702)  

New Aspects of Self-Organized Criticality

A. V. Podlazov
Abstract: It is devoted to phenomenon of self-organized criticality. This phenomenon takes place in many spatially distributed nonlinear systems and characterized by power law distribution of events. The latter one remains valid in the range of many orders. It is proposed a simple model demonstrating a transition from critical state to usual noncritical state while a control parameter is being changed. The particular attention is paid to the analytically solvable critical limit. In this limit the spatial structure of the system becomes irrelevant. The paper contains some prospects for further researches and of possible areas where critical models can be used.
Document Type: Preprint
Language: Russian
Citation: A. V. Podlazov, “New Aspects of Self-Organized Criticality”, Keldysh Institute preprints, 1995, 086
Citation in format AMSBIB
\Bibitem{Pod95}
\by A.~V.~Podlazov
\paper New Aspects of Self-Organized Criticality
\jour Keldysh Institute preprints
\yr 1995
\papernumber 086
\mathnet{http://mi.mathnet.ru/ipmp1702}
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    Препринты Института прикладной математики им. М. В. Келдыша РАН
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