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  Normal mode spectra of hierarchical ensembles of interconnected oscillators

Safina, O. S., Voronov, A. V., Safin, A. R., Bulatov, M. F., Churikov, D. V., Surovyatkina, E. (2019): Normal mode spectra of hierarchical ensembles of interconnected oscillators. - Technical Physics Letters, 45, 9, 874-877.
https://doi.org/10.1134/S1063785019090104

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 ???ViewItemFull_lblCreators???:
Safina, O. S.1, ???ENUM_CREATORROLE_AUTHOR???
Voronov, A. V.1, ???ENUM_CREATORROLE_AUTHOR???
Safin, A. R.1, ???ENUM_CREATORROLE_AUTHOR???
Bulatov, M. F.1, ???ENUM_CREATORROLE_AUTHOR???
Churikov, D. V.1, ???ENUM_CREATORROLE_AUTHOR???
Surovyatkina, Elena2, ???ENUM_CREATORROLE_AUTHOR???                 
???ViewItemFull_lblAffiliations???:
1External Organizations, ou_persistent22              
2Potsdam Institute for Climate Impact Research, ou_persistent13              

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 ???ViewItemFull_lblAbstract???: 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.

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 ???ViewItemFull_lblIdentifiers???: ???ENUM_IDENTIFIERTYPE_DOI???: 10.1134/S1063785019090104
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???ViewItemFull_lblSourceTitle???: Technical Physics Letters
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