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


For citation:

Vyshkind S. J., Devetjarova A. A. On dynamics of some mathematical models in sociology. Izvestiya VUZ. Applied Nonlinear Dynamics, 1994, vol. 2, iss. 2, pp. 17-26.

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):
(downloads: 0)
Language: 
Russian
Article type: 
Article
UDC: 
534.1+ 538.56

On dynamics of some mathematical models in sociology

Autors: 
Vyshkind Svetlana Jakovlevna, Lobachevsky State University of Nizhny Novgorod
Devetjarova Anna Aleksandrovna, Lobachevsky State University of Nizhny Novgorod
Abstract: 

Two 3—rd order dynamical systems are considered in this paper. These sys‘ems are proposed to be the mathematical models of information distribution in society, comprising three groups of individuals of different types — those, which did not receive the information yet, but would supply it to other recipients; those which possess the information and actively distribute it; and those, which possess the information but do not want or have no opportunity to pass it to others. Structure of the models phase space, bifurcations, which lead to the regimes transitions, features and characteristics of different regimes are investigated. 
Obtained results, being interpreted from the sociological point of view, could be of substantial interest for research in the areas of the idea distribution processes and of the public opinion formation.

Key words: 
Reference: 
  1. Poston T, Stewart I. Catastrophe Theory and Its Applications. N.Y.: Dover Publ.; 1996. 491 p.
  2. Nikolis J. Dynamics of Hierarchical Systems: An Evolutionary Approach. Berlin: Springer; 1986. 397 p.
  3. Isnard CA, Zeeman ЕС. Some models from catastrophe theory in the social sciences. In: Collins L, editor. Use of Models in the Social Sciences. London: Tavistock; 1976. P. 44.
  4. Moon FC. Chaotic Vibrations: An Introduction for Applied Scientists and Engineers. Weinheim: Wiley;1987. 309 p.
  5. Nicolis G, Prigogine I. Exploring Complexity: An Introduction. N.Y.: W.H. Freeman; 1989. 313 p.
Received: 
17.12.1993
Accepted: 
07.02.1994
Published: 
08.08.1994