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.