Geodesic
Asymptotic analysis of the ``authority-society'' model in case of two stable authority profiles
Matematičeskoe modelirovanie, Tome 16 (2004) no. 5, pp. 23-34

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

We consider the “authority-society” model by A. P. Mikhailov. We introduce the generalized approach which supposes the existence of two stable authority profiles. The first profile is related to the hierarchy having a large amount of powers, the second one – a small amount of powers. We have shown that depending on the initial conditions and system parameters the authority profile at large values of time appears to be close to either one of these profiles or the so-called contrast profile. 
@article{MM_2004_16_5_a1,
     author = {M. G. Dmitriev and G. S. Joukova and A. P. Petrov},
     title = {Asymptotic analysis of the ``authority-society'' model in case of two stable authority profiles},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {23--34},
     publisher = {mathdoc},
     volume = {16},
     number = {5},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2004_16_5_a1/}
}
TY  - JOUR
AU  - M. G. Dmitriev
AU  - G. S. Joukova
AU  - A. P. Petrov
TI  - Asymptotic analysis of the ``authority-society'' model in case of two stable authority profiles
JO  - Matematičeskoe modelirovanie
PY  - 2004
SP  - 23
EP  - 34
VL  - 16
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2004_16_5_a1/
LA  - ru
ID  - MM_2004_16_5_a1
ER  - 
%0 Journal Article
%A M. G. Dmitriev
%A G. S. Joukova
%A A. P. Petrov
%T Asymptotic analysis of the ``authority-society'' model in case of two stable authority profiles
%J Matematičeskoe modelirovanie
%D 2004
%P 23-34
%V 16
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2004_16_5_a1/
%G ru
%F MM_2004_16_5_a1
M. G. Dmitriev; G. S. Joukova; A. P. Petrov. Asymptotic analysis of the ``authority-society'' model in case of two stable authority profiles. Matematičeskoe modelirovanie, Tome 16 (2004) no. 5, pp. 23-34. http://geodesic.mathdoc.fr/item/MM_2004_16_5_a1/