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Control of spatially patterned synchrony with multisite delayed feedback

C. Hauptmann1,2, O. Omel‘chenko1,2,3, O. V. Popovych1,2, Y. Maistrenko1,2,3, and P. A. Tass1,2,4

  • 1Institute of Neuroscience and Biophysic -3, Research Center Jülich, D-52425 Jülich, Germany
  • 2Virtual Institute of Neuromodulation, Research Center Jülich, D-52425 Jülich, Germany
  • 3Institute of Mathematics, National Academy of Sciences of Ukraine, 01601 Kyiv, Ukraine
  • 4Department of Stereotaxic and Functional Neurosurgery, University Hospital, 50924 Cologne, Germany and Brain Imaging Center West, D-52425 Jülich, Germany

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Phys. Rev. E 76, 066209 – Published 20 December, 2007

DOI: https://doi.org/10.1103/PhysRevE.76.066209

Abstract

We present an analytical study describing a method for the control of spatiotemporal patterns of synchrony in networks of coupled oscillators. Delayed feedback applied through a small number of electrodes effectively induces spatiotemporal dynamics at minimal stimulation intensities. Different arrangements of the delays cause different spatial patterns of synchrony, comparable to central pattern generators (CPGs), i.e., interacting clusters of oscillatory neurons producing patterned output, e.g., for motor control. Multisite delayed feedback stimulation might be used to restore CPG activity in patients with incomplete spinal cord injury or gait ignition disorders.

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Outline

Information

Phys. Rev. E 76, 066209– Published 20 December, 2007
  • Received 8 December 2006
  • Accepted 10 May 2007

© 2007 American Physical Society

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