Biological Cybernetics

, Volume 95, Issue 1, pp 69–85 | Cite as

Control of Neuronal Synchrony by Nonlinear Delayed Feedback

  • Oleksandr V. Popovych
  • Christian Hauptmann
  • Peter A. Tass
Original Paper


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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Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  • Oleksandr V. Popovych
    • 1
    • 2
  • Christian Hauptmann
    • 1
    • 2
  • Peter A. Tass
    • 1
    • 2
    • 3
    • 4
  1. 1.Institute of MedicineResearch Center JülichJülichGermany
  2. 2.Virtual Institute of NeuromodulationResearch Center JülichJülichGermany
  3. 3.Department of Stereotaxic and Functional NeurosurgeryUniversity HospitalCologneGermany
  4. 4.Brain Imaging Center WestJülichGermany

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