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Explosive synchronization in adaptive and multilayer networks.

Xiyun Zhang1, Stefano Boccaletti2, Shuguang Guan1

  • 1Department of Physics, East China Normal University, Shanghai 200062, China.

Physical Review Letters
|February 7, 2015
PubMed
Summary
This summary is machine-generated.

Explosive synchronization (ES) in networked oscillators is more general than previously thought. It can occur in adaptive and multilayer networks without specific frequency or coupling correlations, broadening its applicability.

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Area of Science:

  • Complex systems
  • Network science
  • Nonlinear dynamics

Background:

  • Explosive synchronization (ES) in networked oscillators has been traditionally linked to specific correlations between oscillator frequencies and coupling strengths.
  • This phenomenon is crucial for understanding emergent behaviors in various coupled systems.

Purpose of the Study:

  • To demonstrate that explosive synchronization is a more general phenomenon than previously understood.
  • To investigate the occurrence of ES in adaptive and multilayer networks without requiring specific microscopic correlation features.

Main Methods:

  • Investigated ES in single-layer networks with adaptively controlled links based on a local order parameter.
  • Extended the study to two-layer networks with dependency links between nodes, analyzing various network topologies and frequency distributions.
  • Employed rigorous analytical treatment to support the observed phenomena.

Main Results:

  • Provided evidence of ES in single-layer adaptive networks without the need for frequency-coupling correlations.
  • Demonstrated ES in multilayer networks irrespective of frequency distribution or inter-layer connection topology.
  • Confirmed the generality of ES across different network configurations.

Conclusions:

  • Explosive synchronization is not restricted to systems with specific microscopic correlations.
  • The findings extend the understanding of ES to adaptive and multilayer networks, suggesting broader applicability in real-world systems.
  • Analytical treatment validates the generalized occurrence of ES, advancing the fundamental mechanisms of synchronization in complex networks.