Ultrametric dynamics for the closed fractal-cluster resource models

摘要

The evolutional scenario of the resource distribution in the fractal-clustersystems which is identified as an "organism" has been suggested. We propose amodel in which the resource redistribution dynamics in the closed system isdetermined by the ultrametric structure of the system's space. Moreover, eachcluster has its own character time of a transfer to the equilibrium state whichis determined by the ultrametric size of the cluster. The general equationwhich determines this dynamics has been written. For the determined type of theresource transitions among clusters, the solution to this equation has beennumerically received. The problem of the parameter's identification modelingfor the real systems has been discussed.