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Link-disorder fluctuation effects on synchronization in random networks.

Hyunsuk Hong1, Jaegon Um, Hyunggyu Park

  • 1Department of Physics and Research Institute of Physics and Chemistry, Chonbuk National University, Jeonju 561-756, Korea.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|May 18, 2013
PubMed
Summary
This summary is machine-generated.

Link disorder in coupled phase oscillators mimics frequency disorder, impacting synchronization. This study reveals a universal finite-size scaling exponent for synchronization transitions in disordered networks.

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Area of Science:

  • Complex systems
  • Nonlinear dynamics
  • Statistical physics

Background:

  • Coupled oscillators exhibit collective synchronization, a phenomenon crucial in various natural and engineered systems.
  • Network topology and intrinsic properties significantly influence synchronization dynamics.
  • Disorder, whether in coupling links or intrinsic frequencies, can disrupt or modify synchronization behavior.

Purpose of the Study:

  • To investigate the impact of disordered link configurations on the collective synchronization of coupled phase oscillators.
  • To analyze the effects of link-disorder fluctuations on the synchronization transition and its finite-size scaling (FSS).
  • To compare the synchronization behavior in networks with link disorder to globally coupled systems with frequency disorder.

Main Methods:

  • Utilized extensive numerical simulations of coupled phase oscillators on random networks.
  • Performed mean-field analysis to complement simulation results.
  • Focused on analyzing the finite-size scaling (FSS) exponent of the synchronization transition.

Main Results:

  • Disordered link configurations effectively induce uncorrelated random fluctuations in oscillator frequencies.
  • The finite-size scaling (FSS) exponent for the synchronization transition was found to be ν[over ¯]=5/2.
  • This observed FSS exponent is identical to that found in globally coupled systems with frequency disorder.

Conclusions:

  • Link-disorder fluctuations play a critical role in determining the synchronization transition and its scaling properties.
  • The system exhibits a universal FSS exponent, suggesting similar underlying mechanisms for synchronization disruption regardless of the disorder type (link vs. frequency).
  • Findings contribute to understanding synchronization phenomena in complex networks with realistic disorder characteristics.