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Control of Neuronal Synchrony by Nonlinear Delayed Feedback

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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.

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Authors and Affiliations

  1. Institute of Medicine, Research Center Jülich, 52425, Jülich, Germany

    Oleksandr V. Popovych, Christian Hauptmann & Peter A. Tass

  2. Virtual Institute of Neuromodulation, Research Center Jülich, 52425, Jülich, Germany

    Oleksandr V. Popovych, Christian Hauptmann & Peter A. Tass

  3. Department of Stereotaxic and Functional Neurosurgery, University Hospital, 50924, Cologne, Germany

    Peter A. Tass

  4. Brain Imaging Center West, Leo-Brandt-Street, 52425, Jülich, Germany

    Peter A. Tass

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  1. Oleksandr V. Popovych
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  2. Christian Hauptmann
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  3. Peter A. Tass
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Correspondence to Oleksandr V. Popovych.

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Popovych, O.V., Hauptmann, C. & Tass, P.A. Control of Neuronal Synchrony by Nonlinear Delayed Feedback. Biol Cybern 95, 69–85 (2006). https://doi.org/10.1007/s00422-006-0066-8

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  • DOI: https://doi.org/10.1007/s00422-006-0066-8

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