ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Alekseeva E. I., Medvedev I. G. Mathematical model of election under extreme conditions with transborder flows. Izvestiya VUZ. Applied Nonlinear Dynamics, 2002, vol. 10, iss. 1, pp. 137-145. DOI: 10.18500/0869-6632-2002-10-1-137-145

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Full text PDF(Ru):
Article type: 

Mathematical model of election under extreme conditions with transborder flows

Alekseeva Elena Igorevna, Dorodnicyn Computing Centre of RAS
Medvedev Igor Georgievich, Keldysh Institute of Applied Mathematics (Russian Academy of Sciences)

The electoral behavior of population under condition of alternative election is investigated from the point of view of nonlinear dynamics, social psychology and sociology. Mathematical models of mechanisms of socio-psychological dynamics have been described and analyzed for the concrete local ethnic region. Also the problem of stability as a whole of the model with transborder flows has been evaluated. Some applications оf thе theory to the estimation of the resources оf social security control have been considered.

Key words: 
  1. Moiseev NN. Mathematics Performs an Experiment. Moscow: Nauka; 1979. 224 p. (in Russian).
  2. Kapitsa SP, Kurdyumov SP, Malinetsky GG. Synergetics and Future Forecasts. Moscow: Nauka; 1997. 286 p. (in Russian).
  3. Malinetsky GG, Potapov AB. Rusla and jokers: a neural network view of complex dynamics. Izvestiya VUZ. Applied Nonlinear Dynamics. 1998;6(4):18-30 (in Russian).
  4. Malinetsky GG. “Historical mechanics” and nonlinear dynamics. Izvestiya VUZ. Applied Nonlinear Dynamics. 1997;5(4) (in Russian).
  5. Chernavsky DS. Synergy and Information. Moscow: Nauka; 2001. 244 p. (in Russian).
  6. Shvedovsky VA. On the occurrence of random fluctuations in the model of imitative behavior. In: Issues of Modeling Socio-Economic Objects. Moscow: Central Economics and Mathematics Institute AS USSR; 1978. P. 87-99 (in Russian).
  7. Meshalkin LD, editor. Psychological Measurements. Moscow: Mir; 1967. 195 p. (in Russian).
  8. Zabrodin YM, Pakhomov AP, editors. Psychophysics of discrete and continuous problems. Moscow: Nauka; 1985. 214 p. (in Russian).
  9. Bourdieu P. Sociology of Politics. Moscow: Socio-Logos; 1993. 333 p. (in Russian).
  10. Bautin NN, Leontovich EA. Methods and Techniques for Qualitative Research of Dynamic Systems on a Plane. Moscow: Nauka; 1990. 488 p. (in Russian).
  11. Alekseeva EI, Kirzhner VM. Dependence of the stability of a set of dynamical systems on the structure of the coupling between them. Dokl. Math. 1991;42(1):10-13.
  12. Alekseeva EI, Kirzhner VM, Kuznetsov VA. Structures and collective behavior. In: New in Life, Science, Technology. Series «Mathematics, Cybernetics». No. 3. Moscow: Znanie; 1991. 48 p. (in Russian).
Available online: