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Upravlenie Bol'shimi Sistemami, 2013, Issue 45, Pages 6–29 (Mi ubs715)  

This article is cited in 5 scientific papers (total in 5 papers)

Systems Analysis

Ergodic cyclic resource networks. II. High levels of resource

L. Yu. Zhilyakova

Institute of Control Sciences of RAS
References:
Abstract: We study processes in ergodic nonregular resource networks at high levels of resource. The formula for the threshold value T is derived. It was shown that there are no oscillations if W ? T; the network becomes stable from every initial state when resource level is high. The formulae for the vectors of limit state and the limit flow are derived. The criterion of attractivity of vertices is formulated.
Keywords: diffusion on graphs, resource network, attractors, limit state.
Document Type: Article
UDC: 519.177
BBC: 22.18
Language: Russian
Citation: L. Yu. Zhilyakova, “Ergodic cyclic resource networks. II. High levels of resource”, UBS, 45 (2013), 6–29
Citation in format AMSBIB
\Bibitem{Zhi13}
\by L.~Yu.~Zhilyakova
\paper Ergodic cyclic resource networks. II. High levels of resource
\jour UBS
\yr 2013
\vol 45
\pages 6--29
\mathnet{http://mi.mathnet.ru/ubs715}
Linking options:
  • https://www.mathnet.ru/eng/ubs715
  • https://www.mathnet.ru/eng/ubs/v45/p6
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    This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Upravlenie Bol'shimi Sistemami
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