1. The ultrametrical dynamics for the closed fractal-cluster resource models
- Author
-
Vyacheslav Teodorovich Volov and Alexander Petrovich Zubarev
- Subjects
hierarchical structures ,ultrametric ,fractal-cluster models ,mathematical modeling ,socio-economicsystems ,resource allocation ,Mathematics ,QA1-939 - Abstract
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.
- Published
- 2013
- Full Text
- View/download PDF