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Procedings of the 3nd International Conference "Mathematical Physics and its Applications"
Complex Systems, Quantum Mechanics, Information Theory
The ultrametrical dynamics for the closed fractal-cluster resource models
V. T. Volov, A. P. Zubarev Samara State Transport University, Samara, 443066, Russia
(published under the terms of the Creative Commons Attribution 4.0 International License)
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.
Keywords:
hierarchical structures, ultrametric,
fractal-cluster models, mathematical modeling, socio-economic
systems, resource allocation.
Original article submitted 05/XI/2012 revision submitted – 07/I/2013
Citation:
V. T. Volov, A. P. Zubarev, “The ultrametrical dynamics for the closed fractal-cluster resource models”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(30) (2013), 343–351
Linking options:
https://www.mathnet.ru/eng/vsgtu1152 https://www.mathnet.ru/eng/vsgtu/v130/p343
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Abstract page: | 519 | Full-text PDF : | 268 | References: | 63 | First page: | 1 |
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