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Pisma v Zhurnal Tekhnicheskoi Fiziki, 2019, Volume 45, Issue 17, Pages 24–27
DOI: https://doi.org/10.21883/PJTF.2019.17.48219.17651 (Mi pjtf5332) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Normal mode spectra of hierarchical ensembles of interconnected oscillators

O. S. Safinaab, A. V. Voronova, A. R. Safinac, M. F. Bulatovb, D. V. Churikovbc, E. D. Surovyatkinade

a National Research University "Moscow Power Engineering Institute"
b Scientific and Technological Centre of Unique Instrumentation, Russian Academy of Sciences
c Kotel'nikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences, Moscow
d Space Research Institute, Russian Academy of Sciences, Moscow
e Potsdam Institute for Climate Impact Research, Potsdam, Germany
Full-text PDF (107 kB) Citations (1)
DOI: https://doi.org/10.21883/PJTF.2019.17.48219.17651
Abstract: A family of normal mode spectra of hierarchically organized ensembles of identical interconnected oscillators with different topology of the organization is constructed. It is shown that treelike ensembles possess a devil’s-staircase-type fractal spectrum of normal modes; the number of degenerate modes increases with an increase in the number of tree branches and with introduction of additional connections between elements of the ensemble. The effect of ensemble topologies and bond strengths between elements of the ensemble on spectral characteristics is analyzed.
Keywords: oscillators, normal modes, nonlinear oscillations, fractals.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 8.8109.2017/БЧ
This work was supported by the basic component of Russian Federation state contract no. 8.8109.2017/BCh.
Received: 24.12.2018
Revised: 24.12.2018
Accepted: 29.05.2019
English version:
Technical Physics Letters, 2019, Volume 45, Issue 9, Pages 874–877
DOI: https://doi.org/10.1134/S1063785019090104
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: O. S. Safina, A. V. Voronov, A. R. Safin, M. F. Bulatov, D. V. Churikov, E. D. Surovyatkina, “Normal mode spectra of hierarchical ensembles of interconnected oscillators”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 45:17 (2019), 24–27; Tech. Phys. Lett., 45:9 (2019), 874–877
Citation in format AMSBIB
\Bibitem{SafVorSaf19}
\by O.~S.~Safina, A.~V.~Voronov, A.~R.~Safin, M.~F.~Bulatov, D.~V.~Churikov, E.~D.~Surovyatkina
\paper Normal mode spectra of hierarchical ensembles of interconnected oscillators
\jour Pisma v Zhurnal Tekhnicheskoi Fiziki
\yr 2019
\vol 45
\issue 17
\pages 24--27
\mathnet{http://mi.mathnet.ru/pjtf5332}
\crossref{https://doi.org/10.21883/PJTF.2019.17.48219.17651}
\elib{https://elibrary.ru/item.asp?id=41175052}
\transl
\jour Tech. Phys. Lett.
\yr 2019
\vol 45
\issue 9
\pages 874--877
\crossref{https://doi.org/10.1134/S1063785019090104}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Pisma v Zhurnal Tekhnicheskoi Fiziki Pisma v Zhurnal Tekhnicheskoi Fiziki
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