Open AccessСпектры нормальных мод иерархических ансамблей взаимосвязанных осцилляторов
Author(s) -
О.С. Сафина,
А.В. Воронов,
А.Р. Сафин,
М.Ф. Булатов,
Д.В. Чуриков,
Е.Д. Суровяткина
Publication year - 2019
Publication title -
pisʹma v žurnal tehničeskoj fiziki
Language(s) - English
Resource type - Journals
eISSN - 1726-7471
pISSN - 0320-0116
DOI - 10.21883/pjtf.2019.17.48219.17651
Subject(s) - topology (electrical circuits) , degenerate energy levels , fractal , branching (polymer chemistry) , element (criminal law) , computer science , physics , mathematics , combinatorics , mathematical analysis , quantum mechanics , materials science , political science , law , composite material
The family of spectra of normal modes of hierarchical networks of the identical mutually coupled oscillators with different topology of the organization is constructed. It is shown that treelike networkspossess a fractal range of normal modes of type " devil's staircase", and with growth of quantity of branching lines and at introduction of additional inter-element couplings of network the quantity of degenerate modes increases. The analysis of influence of topology of networks and forces of communications between its elements on spectral characteristics is provided