Control of Synchronization Patterns in Neural-like Boolean Networks

David P. Rosin, Damien Rontani, Daniel J. Gauthier, and Eckehard Schöll
Phys. Rev. Lett. 110, 104102 – Published 5 March 2013
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Abstract

We study experimentally the synchronization patterns in time-delayed directed Boolean networks of excitable systems. We observe a transition in the network dynamics when the refractory time of the individual systems is adjusted. When the refractory time is on the same order of magnitude as the mean link time delays or the heterogeneities of the link time delays, cluster synchronization patterns change, or are suppressed entirely, respectively. We also show that these transitions occur when we change the properties of only a small number of driver nodes identified by their larger in degree; hence, the synchronization patterns can be controlled locally by these nodes. Our findings have implications for synchronization in biological neural networks.

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  • Received 31 October 2012

DOI:https://doi.org/10.1103/PhysRevLett.110.104102

© 2013 American Physical Society

Authors & Affiliations

David P. Rosin1,2,*, Damien Rontani1, Daniel J. Gauthier1, and Eckehard Schöll2

  • 1Department of Physics, Duke University, Durham, North Carolina 27708, USA
  • 2Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany

  • *rosin@phy.duke.edu

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Issue

Vol. 110, Iss. 10 — 8 March 2013

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