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Sparsity-driven synchronization in oscillator networks.

Antonio Mihara1, Everton S Medeiros2, Anna Zakharova3

  • 1Departamento de Física, Universidade Federal de São Paulo, UNIFESP, Campus Diadema, 09913-030 São Paulo, Brasil.

Chaos (Woodbury, N.Y.)
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Summary
This summary is machine-generated.

Removing network links can surprisingly drive complete synchronization in sparse networks. This "sparsity-driven synchronization" phenomenon is observed numerically and analytically, offering a new control strategy.

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Area of Science:

  • Complex Systems
  • Network Science
  • Dynamical Systems

Background:

  • Synchronized behavior emerges in networked dynamical systems, often favored in dense networks.
  • Sparse networks typically exhibit diverse coexistent solutions, hindering convergence to complete synchronization.

Purpose of the Study:

  • To investigate the surprising phenomenon of sparsity-driven synchronization in sparse networks.
  • To analyze the underlying bifurcation mechanisms and develop a procedure for ensuring complete synchronization.

Main Methods:

  • Numerical simulations on nonlocally coupled Kuramoto networks.
  • Analytical verification for locally coupled networks.
  • Analysis of bifurcation scenarios and thermodynamic limit.

Main Results:

  • Completely synchronized states become the sole attractor in sparse networks by removing links.
  • The phenomenon, termed sparsity-driven synchronization, was numerically and analytically confirmed.
  • A procedure was developed to determine the minimum links for guaranteed complete synchronization.

Conclusions:

  • Removing network links can induce complete synchronization in sparse systems.
  • This finding offers a novel control scheme for achieving synchronization in complex networks.
  • The study elucidates the transition mechanisms to synchronized behavior in sparse networks.