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Catalytic feed-forward explosive synchronization in multilayer networks.

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Summary
This summary is machine-generated.

Inhibitory couplings in one layer of multiplex networks can trigger explosive synchronization across other layers. This phenomenon is controllable by inter-layer coupling strengths and multiplexing, highlighting multiplexing

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Area of Science:

  • Complex Systems Science
  • Network Science
  • Dynamical Systems Theory

Background:

  • Inhibitory couplings are fundamental to complex systems.
  • Previous work showed inhibition in one layer can cause explosive synchronization in another in duplex networks.

Purpose of the Study:

  • To investigate the effect of inhibition in a single layer of multiplex networks on synchronization transitions.
  • To explore how inhibition acts as a catalyst for explosive synchronization in other layers.

Main Methods:

  • Utilizing a multiplex network model of coupled Kuramoto oscillators.
  • Analyzing the influence of intra-layer coupling and multiplexing strengths on synchronization dynamics.

Main Results:

  • Inhibition in one layer can indeed catalyze explosive synchronization transitions in other layers of a multiplex network.
  • The characteristics of these transitions are controllable via intra-layer coupling and multiplexing strengths.

Conclusions:

  • Inhibitory couplings play a critical role in controlling synchronization phenomena in multilayer systems.
  • Multiplexing is a key factor in understanding and manipulating synchronization behavior in complex networks with inhibitory elements.