RESOURCE REDISTRIBUTION MECHANISM IN THE CLOSED FRACTAL-CLUSTER RESOURCE MODEL

Author:

VOLOV V. T.1,ZUBAREV A. P.12

Affiliation:

1. Natural Sciences Department, Samara State University of Railway Transport, Samara, Russia

2. Physics Department, Samara University, Samara, Russia

Abstract

The evolutional scenario of the resource distribution in the fractal-cluster system which is identified as the “organism” has been suggested. We propose a model in which the resource redistribution dynamics in the closed system is determined with the ultrametric structure of the system’s space. Moreover, each cluster has its own characteristic time of a transfer to the equilibrium state which is determined with the ultrametric size of the cluster. The general equation which determines this dynamics has been written. For the determined type of the resource transitions among clusters, the solution of this equation has been numerically received. The problem of the parameter identification’s modelling for the real systems has been discussed.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

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