Geodesic
The ultrametrical dynamics for the closed fractal-cluster resource models
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2013), pp. 343-351

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
Keywords: hierarchical structures, ultrametric, fractal-cluster models, mathematical modeling, socio-economic systems, resource allocation. 
@article{VSGTU_2013_1_a34,
     author = {V. T. Volov and A. P. Zubarev},
     title = {The ultrametrical dynamics for the closed fractal-cluster resource models},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {343--351},
     publisher = {mathdoc},
     number = {1},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2013_1_a34/}
}
TY  - JOUR
AU  - V. T. Volov
AU  - A. P. Zubarev
TI  - The ultrametrical dynamics for the closed fractal-cluster resource models
JO  - Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
PY  - 2013
SP  - 343
EP  - 351
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSGTU_2013_1_a34/
LA  - ru
ID  - VSGTU_2013_1_a34
ER  - 
%0 Journal Article
%A V. T. Volov
%A A. P. Zubarev
%T The ultrametrical dynamics for the closed fractal-cluster resource models
%J Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
%D 2013
%P 343-351
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSGTU_2013_1_a34/
%G ru
%F VSGTU_2013_1_a34
V. T. Volov; A. P. Zubarev. The ultrametrical dynamics for the closed fractal-cluster resource models. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2013), pp. 343-351. http://geodesic.mathdoc.fr/item/VSGTU_2013_1_a34/