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Nikita S Frolov1,2, Vladimir A Maksimenko1, Vladimir V Makarov1

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Summary
This summary is machine-generated.

Researchers studied a three-layer multiplex network of phase oscillators, discovering a macroscopic chimeralike state. This state emerges near critical transitions and is controlled by interlayer coupling strength and phase lag.

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Area of Science:

  • Complex systems
  • Network science
  • Nonlinear dynamics

Background:

  • Multiplex networks exhibit complex emergent behaviors.
  • Chimeralike states are a known phenomenon in coupled oscillator systems.
  • Understanding layer interactions is key to predicting network dynamics.

Purpose of the Study:

  • To investigate the emergence of macroscopic chimeralike states in a three-layer multiplex network.
  • To analyze the influence of interlayer coupling and phase lag on network dynamics.
  • To validate computational findings with analytical methods.

Main Methods:

  • Simulation of a three-layer multiplex network with Kuramoto-Sakaguchi oscillators.
  • Computational analysis of system dynamics under varying coupling strengths and phase lags.
  • Analytical validation using the Ott-Antonsen reduction.

Main Results:

  • A macroscopic chimeralike state was identified, characterized by layer splitting into distinct dynamic subgroups.
  • These states occur near critical transition points of intralayer dynamics.
  • The phenomenon is observed at weak to medium interlayer coupling, with interlayer phase lag being a crucial control parameter.

Conclusions:

  • Interlayer coupling and phase lag significantly influence macroscopic dynamics in multiplex networks.
  • Macroscopic chimeralike states represent a novel emergent behavior in these systems.
  • The study provides both numerical and analytical insights into complex network dynamics.