Geodesic
Mathematical modelling of power distribution dynamics in hierarchical structures
Matematičeskoe modelirovanie, Tome 6 (1994) no. 6, pp. 108-138 Cet article a éte moissonné depuis la source Math-Net.Ru

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The methodology of mathematical modelling [1]–[6] is applied to analysis of a system “state power – civil society”. A mathematical macromodel, describing a dynamics of power distribution in state hierarchical structures and an influence of society reaction on a formation of this distribution is built. Some important problems of power distribution dynamics available for study by modelling are discussed. The main attention is devoted to low-governed system. For this system a problem of existence and features of stable stationary power distributions as well as a problem of disobeing low frameworks by state authorities are investigated. Some negative consequences of such a disobeing in case of system deformed with respect to law-governed society are studied. From a mathematical point of view the model corresponds to some boundary problem for integro-differential equation of “parabolic” type available both for purely theoretical study and for computer simulation. 
@article{MM_1994_6_6_a11,
     author = {A. P. Mikhailov},
     title = {Mathematical modelling of power distribution dynamics in hierarchical structures},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {108--138},
     year = {1994},
     volume = {6},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1994_6_6_a11/}
}
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A. P. Mikhailov. Mathematical modelling of power distribution dynamics in hierarchical structures. Matematičeskoe modelirovanie, Tome 6 (1994) no. 6, pp. 108-138. http://geodesic.mathdoc.fr/item/MM_1994_6_6_a11/