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Explosive synchronization in coupled stars.

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We investigated how network structure impacts oscillator synchronization. Increasing coupling between star networks amplifies explosive synchronization, a sudden shift from disorder to order.

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Area of Science:

  • Complex systems
  • Network science
  • Nonlinear dynamics

Background:

  • Oscillator ensembles exhibit collective dynamics.
  • Network topology significantly influences system behavior.
  • Explosive synchronization is a phenomenon characterized by abrupt transitions.

Purpose of the Study:

  • To investigate the effect of network topology on collective dynamics.
  • To explore explosive synchronization in interacting star networks.
  • To analyze the impact of inter-star coupling strength on synchronization dynamics.

Main Methods:

  • Modeling an ensemble of Kuramoto oscillators.
  • Coupling multiple star networks via their central hubs.
  • Analyzing emergent dynamics as a function of coupling strength.

Main Results:

  • Hysteresis width in explosive synchronization increases with inter-star coupling strength.
  • This effect is independent of individual network size.
  • The backward transition point remains constant regardless of the number of coupled networks or coupling strength.

Conclusions:

  • Inter-star coupling strength is a critical parameter for controlling explosive synchronization in star network ensembles.
  • The backward transition point offers a robust characteristic of the system's dynamics.
  • Findings are consistent with established theories like Watanabe and Strogatz.