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Updated: Jan 19, 2026

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Effects of network robustness on explosive synchronization.

Yang Liu1,2, Jürgen Kurths1,3,4

  • 1Potsdam Institute for Climate Impact Research, 14412 Potsdam, Germany.

Physical Review. E
|September 11, 2019
PubMed
Summary

Network assortativity and robustness influence explosive synchronization. Extreme levels suppress it, while optimal tuning maximizes hysteresis, offering insights into network structure effects on synchronization dynamics.

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Area of Science:

  • Complex networks
  • Synchronization dynamics
  • Network science

Background:

  • Assortativity correlates positively with network robustness.
  • Network assortativity plays a key role in explosive synchronization.
  • Network robustness is a critical global property.

Purpose of the Study:

  • Investigate the significance of network robustness.
  • Analyze the influence of robustness and assortativity interaction on explosive synchronization.
  • Explore methods to control explosive synchronization through network structure.

Main Methods:

  • Numerical simulations were employed.
  • Network robustness and assortativity were systematically varied.
  • Explosive synchronization phenomena were analyzed under different network conditions.

Main Results:

  • Explosive synchronization is suppressed under extreme network robustness and assortativity.
  • Optimal adjustments of robustness and assortativity maximize the hysteresis area between forward and backward transitions.
  • The interplay between network structure and synchronization is complex.

Conclusions:

  • Network structure, specifically robustness and assortativity, significantly impacts explosive synchronization.
  • Controlling network properties can modulate synchronization behavior and hysteresis.
  • Findings provide a reference for understanding network effects on synchronization, though challenges remain.