title: Control of neuronal synchrony by nonlinear delayed feedback.
abstract: We present nonlinear delayed feedback stimulation as a technique for effective desynchronization. This method is intriguingly robust with respect to system and stimulation parameter variations. We demonstrate its broad applicability by applying it to different generic oscillator networks as well as to a population of bursting neurons. Nonlinear delayed feedback specifically counteracts abnormal interactions and, thus, restores the natural frequencies of the individual oscillatory units. Nevertheless, nonlinear delayed feedback enables to strongly detune the macroscopic frequency of the collective oscillation. We propose nonlinear delayed feedback stimulation for the therapy of neurological diseases characterized by abnormal synchrony.
authors.affiliation: Institute of Medicine, Research Center Jülich, 52425, Jülich, Germany. o.popovych@fz-juelich.de
authors.forename: Oleksandr V
authors.initials: OV
authors.lastname: Popovych
authors.forename: Christian
authors.initials: C
authors.lastname: Hauptmann
authors.forename: Peter A
authors.initials: PA
authors.lastname: Tass
mesh_terms: D000200:Action Potentials / Q000502:physiology*; D000818:Animals; D001683:Biological Clocks / Q000502:physiology*; D002490:Central Nervous System / Q000502:physiology*; D003344:Cortical Synchronization; D005246:Feedback / Q000502:physiology*; D006801:Humans; D009415:Nerve Net / Q000502:physiology*; D017711:Nonlinear Dynamics; D011930:Reaction Time / Q000502:physiology; D009435:Synaptic Transmission / Q000502:physiology; D013997:Time Factors