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

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Mukhin R. R. Kolmogorov and KAM-thеоrу: Remarks on the history of the theory creation . Izvestiya VUZ. Applied Nonlinear Dynamics, 2003, vol. 11, iss. 1, pp. 3-11. DOI: 10.18500/0869-6632-2003-11-1-3-11

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Language: 
Russian
Heading: 
Review of Actual Problems of Nonlinear Dynamics
Article type: 
Article
UDC: 
537
DOI: 
10.18500/0869-6632-2003-11-1-3-11

Kolmogorov and KAM-thеоrу: Remarks on the history of the theory creation

Autors: 
Mukhin Ravil Rafkatovich, Stary Oskol technological Institute. A. A. Ugarov (branch) of Federal state educational institution of higher professional education "national research technological University "MISIS" (STI nust Misa)
Abstract: 

This article is devoted to Kolmogorov’s 100-th anniversary. The development оf concepts of classical dynamic equations is discussed. Evolution of these concepts from always integrable to nonintegrable systems and аlso the origin оf «the principal problem» оf dynamics аге shown. The solution оf «the principal problem» in KAM-theory is elucidated. The special attention to Kolmogorov’s contribution in the creation оf this theory is given. The influence оn the formation of modern point оf view оn nonintegrable systems and application оf KAM-theory in physics аге considered.

Key words: 
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Reference: 
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Received: 
13.11.2002
Accepted: 
12.05.2003
Available online: 
10.11.2023
Published: 
30.05.2003
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