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Synchronization in Complex Networks of Phase Oscillators: A Survey (2014)
| Citations: | 13 - 1 self |
BibTeX
@MISC{Dörfler14synchronizationin,
author = {Florian Dörfler and Francesco Bullo},
title = {Synchronization in Complex Networks of Phase Oscillators: A Survey},
year = {2014}
}
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Abstract
The emergence of synchronization in a network of coupled oscillators is a fascinating subject of multidisciplinary research. This survey reviews the vast literature on the theory and the applications of complex oscillator networks. We focus on phase oscillator models that are widespread in real-world synchronization phenomena, that generalize the celebrated Kuramoto model, and that feature a rich phenomenology. We review the history and the countless applications of this model throughout science and engineering. We justify the importance of the widespread coupled oscillator model as a locally canonical model and describe some selected applications relevant to control scientists, including vehicle coordination, electric power networks, and clock synchronization. We introduce the reader to several synchronization notions and performance estimates. We propose analysis approaches to phase and frequency synchronization, phase balancing, pattern formation, and partial synchronization. We present the sharpest known results about synchronization in networks of homogeneous and heterogeneous oscillators, with complete or sparse interconnection topologies, and in finite-dimensional and infinite-dimensional settings. We conclude by summarizing the limitations of existing analysis methods and by highlighting some directions for future research.
Keyphrases
synchronization incomplexnetworksof phaseoscillators countless application sparse interconnection topology analysis approach coupled oscillator fascinating subject phase oscillator model phase balancing several synchronization notion widespread coupled oscillator model real-world synchronization phenomenon performance estimate partial synchronization pattern formation clock synchronization celebrated kuramoto model complex oscillator network multidisciplinary research canonical model vehicle coordination electric power network heterogeneous oscillator rich phenomenology vast literature future research infinite-dimensional setting analysis method
