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

Alessio Franci (1) , Antoine Chaillet (1) , William Pasillas-Lépine (1) , Elena Panteley (1) , Françoise Lamnabhi-Lagarrigue (1)

1 L2S - Laboratoire des signaux et systèmes

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.

Domaines: Automatique / Robotique

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⟩