A proportional mean-field feedback for the desynchronization and inhibition of Kuramoto oscillators

Alessio Franci 1, * Antoine Chaillet 2 William Pasillas-Lépine 1 Elena Panteley 1 Françoise Lamnabhi-Lagarrigue 1
* Corresponding author
1 Division Systèmes - L2S
L2S - Laboratoire des signaux et systèmes : 1289
2 L2S - Laboratoire des signaux et systèmes
Abstract : In this paper we summarize recent advances in the controlled alteration of synchronization in networks of in- terconnected Kuramoto oscillators. Motivated by neuroscience applications, and in particular by the deep brain stimulation treatment for Parkinson's disease, we show that a scalar signal, proportional to the mean behaviour of the oscillators population, may either desynchronize or inhibit the resulting oscillations.
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Alessio Franci, Antoine Chaillet, William Pasillas-Lépine, Elena Panteley, Françoise Lamnabhi-Lagarrigue. A proportional mean-field feedback for the desynchronization and inhibition of Kuramoto oscillators. ACODS 2012, Feb 2012, Bangalore, India. pp.1-6. ⟨hal-00782000⟩

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