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Distant remote synchronization in multiple connected star graphs.

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This study introduces two new types of remote synchronization (RS): relay RS and distant RS. Distant RS enables synchronization between remote brain network nodes without intermediaries, offering new insights into brain connectivity.

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Area of Science:

  • Neuroscience
  • Network Science
  • Complex Systems

Background:

  • Remote synchronization (RS) is typically limited to star graph leaf nodes.
  • Existing models do not explain synchronization between distant brain network regions.

Purpose of the Study:

  • To extend the bridge-connected model to multiple star graphs.
  • To investigate the emergence of remote synchronization in complex networks.
  • To understand mechanisms behind long-range connections in brain networks.

Main Methods:

  • Extended a bridge-connected model of two star graphs to multiple connected star graphs.
  • Analyzed synchronization patterns in the extended network model.
  • Investigated conditions necessary for distant RS.

Main Results:

  • The extended model demonstrates both relay RS (among all leaf nodes) and a novel distant RS (between non-adjacent leaf nodes).
  • Distant RS occurs without the involvement of any middle nodes.
  • Two conditions for distant RS were identified: heterogeneous network morphology and asymmetric couplings.

Conclusions:

  • This is the first implementation of distant RS in star-like graph models.
  • The findings may elucidate mechanisms of long connections in brain structural networks.
  • Dynamical symmetry, not morphology symmetry, is key to distant RS.