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Analysis of cluster explosive synchronization in complex networks.

Peng Ji1, Thomas K D M Peron2, Francisco A Rodrigues3

  • 1Potsdam Institute for Climate Impact Research (PIK), 14473 Potsdam, Germany and Department of Physics, Humboldt University, 12489 Berlin, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
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Summary
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This study explores how network structure affects cluster explosive synchronization (CES) in complex systems. We found that increasing disorder weakens synchronization, highlighting the interplay between topology and dynamics.

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Area of Science:

  • Complex network theory
  • Nonlinear dynamics
  • Statistical physics

Background:

  • Correlations between intrinsic dynamics and local topology are crucial in complex network synchronization.
  • Second-order Kuramoto oscillators are a key model for studying synchronization phenomena.

Purpose of the Study:

  • Investigate the influence of network topology on the dynamics of second-order Kuramoto oscillators.
  • Analyze cluster explosive synchronization (CES) in scale-free networks.
  • Examine the impact of quenched disorder on the robustness of synchronization transitions.

Main Methods:

  • Mean-field calculations for theoretical analysis.
  • Investigation of scale-free network properties.
  • Inclusion of quenched disorder to assess robustness.

Main Results:

  • Detailed analysis of cluster explosive synchronization (CES) in scale-free networks.
  • Demonstrated that phase coherence decreases with increasing quenched disorder.
  • Identified key topological properties influencing synchronization dynamics.

Conclusions:

  • Topology significantly influences the dynamics of complex networks, particularly CES.
  • Quenched disorder reduces phase coherence, impacting synchronization stability.
  • The study deepens the understanding of topology-dynamics interplay in synchronized systems.