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Synchronization of small oscillations
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Date
2019-09-01
Author
Tuna, Sezai Emre
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Synchronization is studied in an array of identical oscillators undergoing small vibrations. The overall coupling is described by a pair of matrix-weighted Laplacian matrices; one representing the dissipative, the other the restorative connectors. A construction is proposed to combine these two real matrices in a single complex matrix. It is shown that whether the oscillators synchronize in the steady state or not depend on the number of eigenvalues of this complex matrix on the imaginary axis. Certain refinements of this condition for the special cases, where the restorative coupling is either weak or absent, are also presented.
Subject Keywords
Control and Systems Engineering
,
Electrical and Electronic Engineering
URI
https://hdl.handle.net/11511/49241
Journal
AUTOMATICA
DOI
https://doi.org/10.1016/j.automatica.2019.05.047
Collections
Department of Electrical and Electronics Engineering, Article
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S. E. Tuna, “Synchronization of small oscillations,”
AUTOMATICA
, pp. 154–161, 2019, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/49241.