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JOURNALS // Intelligent systems. Theory and applications // Archive

Intelligent systems. Theory and applications, 2015 Volume 19, Issue 3, Pages 27–38 (Mi ista192)

This article is cited in 1 paper

Part 2. Special Issues in Intellectual Systems Theory

About stabilization of a dynamical system, related to automata modelling of migration processes

D. I. Vasilyev


Abstract: This paper considers the model of dynamical system, consisting of graph, each vertex of which is assigned with “comfort” and “the number of elements in current vertex”. Each element is forced to reach the most comfortable vertex, but presence of elements in vertex is uncomfortable factor. We shown, that this system always has a limit state and described class of system, which limit state depends only on number of elements in graph, but not on their distribution.

Keywords: dynamical systems, stabilization, automata modelling of migration.



© Steklov Math. Inst. of RAS, 2026