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Explosive synchronization in frequency displaced multiplex networks.

Sarika Jalan1, Anil Kumar1, Inmaculada Leyva2

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Researchers explored explosive synchronization in two-layer multiplex networks. A frequency mismatch between layers can trigger explosive synchronization across and within layers, creating a hybrid transition.

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Area of Science:

  • Complex networks
  • Nonlinear dynamics
  • Physics

Background:

  • Multiplex networks offer a richer framework for studying complex systems.
  • Explosive synchronization is a phenomenon characterized by a sudden onset of synchronized behavior.

Purpose of the Study:

  • To investigate the induction of explosive synchronization in a two-layer multiplex network.
  • To understand the role of frequency mismatch in triggering synchronization transitions.

Main Methods:

  • Utilizing nonidentical Kuramoto oscillators to model the network dynamics.
  • Analyzing synchronization behavior in a multiplex network composed of two distinct layers.

Main Results:

  • A sufficient frequency mismatch between the two layers can induce explosive synchronization.
  • This phenomenon leads to both inter-layer and intra-layer synchronization.
  • A hybrid transition is observed without requiring specific structure-dynamics correlations.

Conclusions:

  • Frequency mismatch is a key factor for inducing explosive synchronization in multiplex networks.
  • Multiplex networks can exhibit complex synchronization patterns driven by inter-layer coupling and frequency differences.
  • The findings contribute to understanding synchronization dynamics in multilayered complex systems.