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


For citation:

Kachak V. V., Mchedlova E. S. Model of interaction and evolution of two scientific directions. Izvestiya VUZ. Applied Nonlinear Dynamics, 1997, vol. 5, iss. 4, pp. 110-119. DOI: 10.18500/0869-6632-1997-5-4-110-119

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Language: 
Russian
Article type: 
Other
UDC: 
001:519.711.3

Model of interaction and evolution of two scientific directions

Autors: 
Kachak Valerii Vladimirovich, Federal State Autonomous Educational Institution of Higher Professional Education "National Research Technological University" MISiS "
Mchedlova Elena Sumbatovna, Saratov State University
Abstract: 

Based on a mathematical model represented by a system of two nonlinear differential equations of the first order, an attempt was made to qualitatively describe the evolution of two interacting scientific directions. The results of both negative and positive bidirectional influence of one direction on the change in the indicators of the other were considered. The study took into account the nature of the change in time of a separate direction (developing, degrading), and also analyzed the dependence of the system dynamics on possible initial states.

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Reference: 
  1. Koronovskii AA, Trubetskov DI. Nonlinear Dynamics in Action. Saratov: College; 1995. 130 p. (in Russian).
  2. Ivanitskii GR. On the way to the second intellectual revolution. Film and Television Technique. 1988;5:33-42.
  3. Bautin NN, Leontovich ЕА. Methods and Techniques of Qualitative Study of Dynamic Systems on the Plane. М.: Nauka; 1990. 488 p.
Received: 
20.09.1997
Accepted: 
29.09.1997
Published: 
17.10.1997