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Control of synchronization patterns in neural-like Boolean networks.

David P Rosin1, Damien Rontani, Daniel J Gauthier

  • 1Department of Physics, Duke University, Durham, North Carolina 27708, USA. rosin@phy.duke.edu

Physical Review Letters
|March 26, 2013
PubMed
Summary
This summary is machine-generated.

Synchronization patterns in excitable systems change with refractory time. Adjusting driver nodes locally controls these network dynamics, impacting biological neural networks.

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Area of Science:

  • Complex systems
  • Nonlinear dynamics
  • Network science

Background:

  • Excitable systems exhibit threshold dynamics.
  • Boolean networks model discrete state interactions.
  • Synchronization is crucial in coupled dynamical systems.

Purpose of the Study:

  • Investigate synchronization patterns in time-delayed directed Boolean networks.
  • Determine the effect of refractory time on network dynamics.
  • Identify control mechanisms for synchronization.

Main Methods:

  • Experimental study of Boolean networks.
  • Manipulation of refractory time in excitable systems.
  • Analysis of network dynamics and synchronization patterns.
  • Identification of driver nodes based on in-degree.

Main Results:

  • Refractory time influences cluster synchronization.
  • Synchronization transitions occur when refractory time matches link time delays.
  • Synchronization patterns are suppressed by refractory time heterogeneity.
  • Local control of synchronization is possible via driver nodes.

Conclusions:

  • Refractory time is a critical parameter for synchronization in these networks.
  • Driver nodes offer targeted control over network synchronization.
  • Findings inform understanding of synchronization in biological neural networks.