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Effective centrality and explosive synchronization in complex networks.

A Navas1, J A Villacorta-Atienza2, I Leyva1,3

  • 1Center for Biomedical Technology, Univ. Politécnica de Madrid, 28223 Pozuelo de Alarcón, Madrid, Spain.

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Summary
This summary is machine-generated.

This study introduces effective centrality to measure node importance in networked oscillator synchronization. It reveals how network structure and dynamics influence synchronization and how to induce explosive synchronization.

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Area of Science:

  • Complex networks
  • Nonlinear dynamics
  • Statistical physics

Background:

  • Synchronization in networked oscillators critically depends on network topology and unit dynamics.
  • Understanding this interplay is key to predicting and controlling collective behaviors.

Purpose of the Study:

  • To propose an effective network model capturing topology-dynamics interplay.
  • To introduce effective centrality for quantifying node roles in synchronization.
  • To analyze and induce explosive synchronization in networks.

Main Methods:

  • Development of an effective network representation.
  • Introduction and application of the effective centrality measure.
  • Analysis of network propensity for explosive synchronization.

Main Results:

  • The effective network model successfully reflects the interplay between network topology and dynamics.
  • Effective centrality quantifies node importance in the synchronization process.
  • A strategy to induce explosive synchronization by targeting specific nodes was identified.

Conclusions:

  • Effective centrality provides a novel tool for understanding synchronization in complex networks.
  • The proposed strategy offers a method for controlling explosive synchronization transitions.