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Remote synchronization reveals network symmetries and functional modules.

Vincenzo Nicosia1, Miguel Valencia, Mario Chavez

  • 1School of Mathematical Sciences, Queen Mary University of London, London E1 4NS, United Kingdom.

Physical Review Letters
|May 18, 2013
PubMed
Summary
This summary is machine-generated.

Complex networks exhibit remote synchronization where nodes with identical network symmetry synchronize despite distance. This phenomenon, driven by phase frustration in the Kuramoto model, has implications for brain network organization.

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Area of Science:

  • Complex systems
  • Network science
  • Nonlinear dynamics

Background:

  • The Kuramoto model is a standard framework for studying synchronization in coupled oscillator systems.
  • Synchronization phenomena are crucial in various natural and engineered systems, including neural networks.
  • Phase frustration can disrupt or alter synchronization patterns in complex networks.

Purpose of the Study:

  • To investigate synchronization patterns in a Kuramoto model with phase frustration on complex networks.
  • To identify conditions leading to synchronization between distant nodes.
  • To explore the role of network symmetry in organizing synchronized states.

Main Methods:

  • Utilized a Kuramoto model with phase frustration applied to complex network topologies.
  • Developed analytical arguments to explain the emergent synchronization behavior.
  • Analyzed the effect of the frustration parameter on phase distributions.
  • Applied the model to study brain networks.

Main Results:

  • Observed a novel "remote synchronization" regime where nodes with identical network symmetry synchronize.
  • Demonstrated that phase frustration prevents full global synchronization but allows for localized synchronization.
  • Showed that the frustration parameter controls the distribution of oscillator phases.
  • Identified anatomical symmetry as a potential driver of neural synchronization in brain networks.

Conclusions:

  • Network symmetry is a key factor in organizing remote synchronization in frustrated Kuramoto systems.
  • Phase frustration can lead to functional correlations between anatomically symmetric brain regions.
  • The findings suggest a mechanism for how structural properties of brain networks influence large-scale neural coordination.