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Critical Coupling and Synchronized Clusters in Arbitrary Networks of Kuramoto Oscillators

Abstract The Kuramoto model is an archetypal model for studying synchronization in groups

of nonidentical oscillators where oscillators are imbued with their own frequency and

coupled with other oscillators though a network of interactions. As the coupling

strength increases, there is a bifurcation to complete synchronization where all oscillators

move with the same frequency and show a collective rhythm. Kuramoto-like

dynamics are considered a relevant model for instabilities of the AC-power grid which

operates in synchrony under standard conditions but exhibits, in a state of failure,

segmentation of the grid into desynchronized clusters.

In this dissertation the minimum coupling strength required to ensure total frequency

synchronization... (more)
Created Date 2018
Contributor Gilg, Brady (Author) / Armbruster, Dieter (Advisor) / Mittelmann, Hans (Committee member) / Scaglione, Anna (Committee member) / Strogatz, Steven (Committee member) / Welfert, Bruno (Committee member) / Arizona State University (Publisher)
Subject Applied mathematics / Electrical engineering / Mathematics / Dynamical Systems / Kuramoto / Modelling / Power Systems / Spectral Graph Theory / Synchronization
Type Doctoral Dissertation
Extent 135 pages
Language English
Reuse Permissions All Rights Reserved
Note Doctoral Dissertation Applied Mathematics 2018
Collaborating Institutions Graduate College / ASU Library
Additional Formats MODS / OAI Dublin Core / RIS

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Description Dissertation/Thesis