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


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Bogatov E. M., Мухин Р. Р. The relation between the nonlinear analysis, bifurcations and nonlinear dynamics (on the example of voronezh school of nonlinear functional analysis). Izvestiya VUZ. Applied Nonlinear Dynamics, 2015, vol. 23, iss. 6, pp. 74-88. DOI: 10.18500/0869-6632-2015-23-6-74-88

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Russian
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51(09)

The relation between the nonlinear analysis, bifurcations and nonlinear dynamics (on the example of voronezh school of nonlinear functional analysis)

Autors: 
Bogatov Egor Mihajlovich, 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)
Мухин Равиль Рафкатович, 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: 

The paper is devoted to some historical aspects of the rapidly developing field of modern mathematics – nonlinear functional analysis, which is presented as the basis of the mathematical apparatus of nonlinear dynamics. Its methods are demonstrated on the example of bifurcation. The first bifurcations problem – Euler problem on elastic instability rod under longitudinal compressive forces is considered. The formation of Voronezh school of functional analysis and its role in the development of nonlinear analysis in general is also discussed.

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Received: 
25.05.2015
Accepted: 
21.12.2015
Published: 
29.04.2016
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