Desynchronization of coupled phase oscillators, with application to the Kuramoto system under mean-field feedback

Alessio Franci 1, * Elena Panteley 1 Antoine Chaillet 1 Françoise Lamnabhi-Lagarrigue 1
* Corresponding author
1 Division Systèmes - L2S
L2S - Laboratoire des signaux et systèmes : 1289
Abstract : This note introduces two notions of desynchronization for interconnected phase oscillators by requiring that phases drift away from one another either at all times or in average. It provides a characterization of each of these two notions based on the grounded variable associated to the system, and relates them to a classical notion of instability valid in Euclidean spaces. An illustration is provided through the Kuramoto system, which is shown to be desynchronizable by proportional mean-field feedback.
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Alessio Franci, Elena Panteley, Antoine Chaillet, Françoise Lamnabhi-Lagarrigue. Desynchronization of coupled phase oscillators, with application to the Kuramoto system under mean-field feedback. 50th IEEE Conference on Decision and Control, Dec 2011, Orlando, United States. pp.1-6. ⟨hal-00652625⟩

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