The Development of Electrical and Radio engineering: the Role of M. Krylov and M. Bogolyubov’s Nonlinear Mechanics

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dc.contributor.authorLytvynko, Alla
dc.contributor.authorVoitiuk, Olena
dc.contributor.authorZvonkova, Halyna
dc.contributor.authorStankova, Mariia
dc.contributor.authorKorniienko, Olexandr
dc.contributor.authorZabuga, Artem
dc.date.accessioned2021-12-09T12:55:18Z
dc.date.available2021-12-09T12:55:18Z
dc.date.issued2021-08-27
dc.description.abstractenThe article is devoted to the history of the development of asymptotic theory of nonlinear oscillations (nonlinear mechanics), created by M. Krylov and M. Bogolyubov in Kyiv in the early 1930s. Its significance for the elaboration of electrical and radio engineering is emphasized. The key evolutionary events related to the theory of nonlinear oscillations are covered. Among them are Lee de Forrest's invention of the triode lamp in 1906, activity of teams led by G. Barkhausen and G. Möller in Germany (1907–1921), B. Van der Pol in Holland (1922–1929), L.Mandelstam (USSR) (since 1925), M. M. Krylov and M. M. Bogolyubov in Kyiv, Ukraine (since 1927). It is shown that M. Krylov and M. Bogolyubov developed mathematical method for the study of general conservative systems with a small parameter, and on this base - methods for considering quasi-periodic modes in an electronic generator, which is periodically affected by an external force. In 1932 M. Bogolyubov made according report at the First Electrotechnical Congress in Paris. It was highlighted that M. Bogolyubov had significantly influenced the development of physical, mathematical and technical sciences at the Institute of Mathematics, Kyiv University and Institute of Theoretical Physics. The reconstruction of the intellectual portrait of the M. Bogolyubov, carried out on the basis of the interviews, is also given.uk
dc.format.pagerangeРр. 599-603uk
dc.identifier.citationThe Development of Electrical and Radio engineering: the Role of M. Krylov and M. Bogolyubov’s Nonlinear Mechanics / Alla Lytvynko, Olena Voitiuk, Halyna Zvonkova, Mariia Stankova, Olexandr Korniienko, Artem Zabuga // 3rd Ukraine Conference on Electrical and Computer Engineering (UKRCON) (26-28 Aug. 2021, Lviv, Ukraine). – Lviv : Institute of Electrical and Electronics Engineers, 2021. – Рр. 599-603. – Bibliogr.: 26 ref.uk
dc.identifier.doihttps://doi.org/10.1109/UKRCON53503.2021.9575839
dc.identifier.urihttps://ela.kpi.ua/handle/123456789/45478
dc.language.isoenuk
dc.publisherInstitute of Electrical and Electronics Engineersuk
dc.publisher.placeЛьвівuk
dc.source2021 IEEE 3rd Ukraine Conference on Electrical and Computer Engineering (UKRCON)uk
dc.subjecthistory of science and technologyuk
dc.subjectelectrical engineeringuk
dc.subjectradio engineeringuk
dc.subjecttheory of non-linear oscillationsuk
dc.titleThe Development of Electrical and Radio engineering: the Role of M. Krylov and M. Bogolyubov’s Nonlinear Mechanicsuk
dc.typeArticleuk

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