ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

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Shapoval A. B. Stability of a stationary critical state in a model of cluster formation. Izvestiya VUZ. Applied Nonlinear Dynamics, 2011, vol. 19, iss. 3, pp. 45-55. DOI: 10.18500/0869-6632-2011-19-3-45-55

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Language: 
Russian
Heading: 
Autowaves. Self-organization
Article type: 
Article
UDC: 
517.937
DOI: 
10.18500/0869-6632-2011-19-3-45-55

Stability of a stationary critical state in a model of cluster formation

Autors: 
Shapoval Aleksandr Borisovich, Financial University under the Government of the Russian Federation
Abstract: 

The paper considers a self-organized critical process of clasterization. The stability of the equilibrium for infinite system of the differential equations approximating this process is proved.

Key words: 
Self-organized criticality
clustering
Equilibrium
stability
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Received: 
07.07.2010
Accepted: 
10.01.2011
Published: 
29.07.2011
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