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

For citation:

Malinetskii G. G. "Historical mechanics" and nonlinear dynamics. Izvestiya VUZ. Applied Nonlinear Dynamics, 1997, vol. 5, iss. 4, pp. 76-88. DOI: 10.18500/0869-6632-1997-5-4-76-88

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Language: 
Russian
Heading: 
Methodical Papers on Nonlinear Dynamics
Article type: 
Other
UDC: 
519.711.3; 930.2; 316; 537.86
DOI: 
10.18500/0869-6632-1997-5-4-76-88

"Historical mechanics" and nonlinear dynamics

Autors: 
Malinetskii Georgij Gennadevich, Keldysh Institute of Applied Mathematics (Russian Academy of Sciences)
Abstract: 

The paper proposes to develop a new interdisciplinary approach called historical mechanics. This approach is aimed at analyzing not only one realized trajectory of development of any civilization or ethnic group, but also at analyzing the field of possibilities, "virtual trajectories of community development," bifurcation points. The paper introduces a new class of mathematical models — dynamic systems with jokers, which may be useful in studying social and historical processes. The relationship between L. N. Gumilev's theory of ethnogenesis and models of the theory of self-organized criticality is discussed. Currently, many humanitarian universities offer courses in natural science with elements of nonlinear dynamics. Practice shows that these disciplines arouse keen interest if humanists see the possibility of a meaningful dialogue between humanitarian and natural science culture. An attempt at such a dialogue is contained in the proposed article.

Key words: 
-
Acknowledgments: 
I consider it a pleasant duty to thank A.B. Potapov for discussing the problems of historical mechanics, S.A. Posashkov for the support provided, and N.V. Karlov for discussions at the Andreevsky Club. This work was supported by the Russian Humanitarian Scientific Foundation (grants 96-03-04535, 96-03-04307) and the State Committee for Higher Education grant "Social Projections of Synergetics" and the State Scientific and Technical Program "Security".
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Received: 
04.07.1997
Accepted: 
14.08.1997
Published: 
17.10.1997
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