The ultrametrical dynamics for the closed fractal-cluster resource models
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Samara State Technical University
2013-12-01
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| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
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| Online Access: | https://journals.eco-vector.com/1991-8615/article/viewFile/34722/23073 |
| _version_ | 1818059923806748672 |
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| author | Vyacheslav Teodorovich Volov Alexander Petrovich Zubarev |
| author_facet | Vyacheslav Teodorovich Volov Alexander Petrovich Zubarev |
| author_sort | Vyacheslav Teodorovich Volov |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-10T13:24:15Z |
| format | Article |
| id | doaj.art-2b6a3de3be7e4c8e9cb7037ca5f4b8c6 |
| institution | Directory Open Access Journal |
| issn | 1991-8615 2310-7081 |
| language | English |
| last_indexed | 2024-12-10T13:24:15Z |
| publishDate | 2013-12-01 |
| publisher | Samara State Technical University |
| record_format | Article |
| series | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| spelling | doaj.art-2b6a3de3be7e4c8e9cb7037ca5f4b8c62022-12-22T01:47:13ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812013-12-0117134335110.14498/vsgtu115231235The ultrametrical dynamics for the closed fractal-cluster resource modelsVyacheslav Teodorovich Volov0Alexander Petrovich Zubarev1Samara State Transport UniversitySamara State Transport UniversityThe 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.https://journals.eco-vector.com/1991-8615/article/viewFile/34722/23073hierarchical structuresultrametricfractal-cluster modelsmathematical modelingsocio-economicsystemsresource allocation |
| spellingShingle | Vyacheslav Teodorovich Volov Alexander Petrovich Zubarev The ultrametrical dynamics for the closed fractal-cluster resource models Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki hierarchical structures ultrametric fractal-cluster models mathematical modeling socio-economicsystems resource allocation |
| title | The ultrametrical dynamics for the closed fractal-cluster resource models |
| title_full | The ultrametrical dynamics for the closed fractal-cluster resource models |
| title_fullStr | The ultrametrical dynamics for the closed fractal-cluster resource models |
| title_full_unstemmed | The ultrametrical dynamics for the closed fractal-cluster resource models |
| title_short | The ultrametrical dynamics for the closed fractal-cluster resource models |
| title_sort | ultrametrical dynamics for the closed fractal cluster resource models |
| topic | hierarchical structures ultrametric fractal-cluster models mathematical modeling socio-economicsystems resource allocation |
| url | https://journals.eco-vector.com/1991-8615/article/viewFile/34722/23073 |
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