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Explosive synchronization enhanced by time-delayed coupling.

Thomas Kauê Dal'Maso Peron1, Francisco A Rodrigues

  • 1Instituto de Física de São Carlos, Universidade de São Paulo, Avenida Trabalhador São Carlense 400, Caixa Postal 369, CEP 13560-970, São Carlos, São Paulo, Brazil.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 26, 2012
PubMed
Summary
This summary is machine-generated.

Explosive synchronization emerges in scale-free networks using the Kuramoto model. Introducing time delays and correlated frequencies enhances this synchronization, crucial for understanding real-world complex systems.

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Area of Science:

  • Complex networks
  • Nonlinear dynamics
  • Statistical physics

Background:

  • The Kuramoto model describes synchronization in coupled oscillators.
  • Scale-free networks exhibit complex topological properties.
  • Explosive synchronization transitions are observed in various systems.

Purpose of the Study:

  • Investigate the emergence of explosive synchronization in scale-free networks.
  • Analyze the impact of correlated natural frequencies and time delays.
  • Develop an analytical framework for understanding these phenomena.

Main Methods:

  • Utilized the Kuramoto model for coupled phase oscillators.
  • Incorporated frequency-degree correlation and time delays.
  • Performed analytical treatment on a star graph topology.
  • Validated results against scale-free network simulations.

Main Results:

  • Demonstrated enhanced explosive synchronization transitions.
  • Showcased the significant role of time delays in accelerating synchronization.
  • Confirmed analytical findings with network simulations.
  • Established a link between network structure and synchronization dynamics.

Conclusions:

  • Time delays and frequency-degree correlations are key drivers of explosive synchronization.
  • The analytical model accurately predicts synchronization in complex networks.
  • Findings offer insights into synchronization mechanisms in real-world systems with signal transmission delays.