Published July 2015
| public
Book Section - Chapter
Synchronization of heterogeneous Kuramoto oscillators with arbitrary topology
- Creators
- Gushchin, Andrey
- Mallada, Enrique
- Tang, Ao
Abstract
We study synchronization of coupled Kuramoto oscillators with heterogeneous inherent frequencies and general underlying connectivity. We provide conditions on the coupling strength and the initial phases which guarantee the existence of a Positively Invariant Set (PIS) and lead to synchronization. Unlike previous works that focus only on analytical bounds, here we introduce an optimization approach to provide a computational-analytical bound that can further exploit the particular features of each individual system such as topology and frequency distribution. Examples are provided to illustrate our results as well as the improvement over previous existing bounds.
Additional Information
© 2015 AACC.Additional details
- Eprint ID
- 65474
- DOI
- 10.1109/ACC.2015.7170807
- Resolver ID
- CaltechAUTHORS:20160318-092229615
- Created
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2016-03-18Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field