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

For citation:

Kachak V. V., Mchedlova E. S. The model of interactions of two scientific fields with exponential growth of achievements bounded by nonlinearity. Izvestiya VUZ. Applied Nonlinear Dynamics, 1998, vol. 6, iss. 2, pp. 85-94. DOI: 10.18500/0869-6632-1998-6-2-85-94

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Language: 
Russian
Heading: 
Methodical Papers on Nonlinear Dynamics
Article type: 
Article
UDC: 
001:519.711.3
DOI: 
10.18500/0869-6632-1998-6-2-85-94

The model of interactions of two scientific fields with exponential growth of achievements bounded by nonlinearity

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: 

One model of interaction of two scientific fields is suggested. The model described by system of ordinary differential equations with nonlinearity. Analysis of phase space and realizations comparison allowed to investigate the cvolution of scientific fields qualitatively, taking into account the exponental growih of achievements bounded by nonlinearity. The different types of interactions between scientific fields (cooperation, competition and suppression) and their own dynamics (developed, degraded) were considered.

Key words: 
-
Reference: 
  1. Kachak VV, Mchedlova ES. Model of interaction and evolution of two scientific directions. Izvestiya VUZ. Applied Nonlinear Dynamics. 1997;5(4):110-119.
  2. Kuhn ТS. The Structure of Scientific Revolutions. Chicago: University of Chicago Press; 1962. 264 p.
  3. Yablonskii AI. Mathematical Models in Science Research. М.: Nauka; 1986. 352 p. (in Russian).
Received: 
11.06.1998
Accepted: 
25.06.1998
Published: 
08.07.1998
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