The ultrametrical dynamics for the closed fractal-cluster resource models

V. T. Volov ; A. P. Zubarev

Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2013), pp. 343-351.

Résumé

The evolution scenario of the resource distribution in the fractal-cluster systems which are identified as organism on Burdakov's classification is suggested. In this model the resource distribution dynamics is determined by the ultrametric structure of the fractal-cluster space. Thus for each cluster there is the characteristic time of its transition to an equilibrium state defined by ultrametric size of the cluster. The general equation that describes that dynamics is presented. The numeric solution for that equation for the certain types of resource transformation between clusters is received. The problem of identification of parameters of model with reference to real systems is discussed.

Détail

Keywords: hierarchical structures, ultrametric, fractal-cluster models, mathematical modeling, socio-economic systems, resource allocation.

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