Control of Neuronal Synchrony by Nonlinear Delayed Feedback

Authors:
V. Popovych;Christian Hauptmann;A. Tass
Affiliations:
Institute of Medicine, Research Center Jülich, 52425, Jülich, Germany and Virtual Institute of Neuromodulation, Research Center Jülich, 52425, Jülich, Germany;Institute of Medicine, Research Center Jülich, 52425, Jülich, Germany and Virtual Institute of Neuromodulation, Research Center Jülich, 52425, Jülich, Germany;Inst. of Med., Res. Ctr. Jülich and Virtual Inst. of Neuromod., Res. Ctr. Jülich and Dept. of Stereotaxic and Functl. Neuros., Univ. Hosp., Cologne and Brain Imaging Ctr. West, Leo-B ...
Venue:
Biological Cybernetics
Year:
2006

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2011 Special Issue: Multi-site stimulation of subthalamic nucleus diminishes thalamocortical relay errors in a biophysical network model

Neural Networks
Minimum energy desynchronizing control for coupled neurons

Journal of Computational Neuroscience

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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.