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


For citation:

Kurkina E. S., Kuretova E. D. Mathematical models of the world-system evolution. Izvestiya VUZ. Applied Nonlinear Dynamics, 2013, vol. 21, iss. 6, pp. 88-107. DOI: 10.18500/0869-6632-2013-21-6-88-107

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
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Language: 
Russian
Article type: 
Article
UDC: 
517.956.4

Mathematical models of the world-system evolution

Autors: 
Kurkina Elena Sergeevna, Lomonosov Moscow State University
Kuretova Ekaterina Dmitrievna, Lomonosov Moscow State University
Abstract: 

We propose new mathematical models of the evolution of the human society based on the synergistic approach. They describe the dynamics of the indicators of the major integral development of the World-System such as the total population and the level of the technological development. Our models capture the basic laws of the space and temporal development of the society. They indicate the hyperbolic growth of the population that agrees with the demographical data and the cyclic dynamics. The models help to analyze historical events and to make some predictions fro the further development of the society.

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Received: 
14.10.2013
Accepted: 
07.11.2013
Published: 
28.02.2014
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