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Enhancing Synchronization by Optimal Correlated Noise.

Sherwood Martineau1, Tim Saffold1, Timothy T Chang1

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This summary is machine-generated.

Noise can disrupt synchronization in coupled oscillator networks. This study reveals optimal noise patterns that minimize disruption and even enhance order, with implications for power grids and neuronal networks.

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Area of Science:

  • Physics
  • Complex Systems
  • Network Science

Background:

  • Coupled phase oscillators model synchronization in diverse systems like fireflies and power grids.
  • Real-world networks often face noisy inputs that can inhibit synchronization.

Purpose of the Study:

  • To investigate the impact of noise on synchronization in coupled oscillator networks.
  • To identify optimal noise patterns that can minimize desynchronization and enhance order.

Main Methods:

  • Analytical arguments for a two-oscillator model.
  • Numerical optimization methods for large complex networks.

Main Results:

  • A sharp transition exists in the two-oscillator model between anticorrelated and correlated optimal noise.
  • Anticorrelated noise patterns are shown to optimally enhance synchronization in large complex networks.

Conclusions:

  • Optimal noise patterns can counteract desynchronizing effects and promote order in oscillator networks.
  • Findings have potential applications in stabilizing power grids and understanding neuronal network dynamics.