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Repulsive inter-layer coupling induces anti-phase synchronization.

Igor A Shepelev1, Sishu S Muni2, Eckehard Schöll3

  • 1Institute of Physics, Saratov State University, 83 Astrakhanskaya Street, Saratov 410012, Russia.

Chaos (Woodbury, N.Y.)
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Summary
This summary is machine-generated.

Repulsive coupling in bilayer van der Pol oscillator networks induces anti-phase synchronization of spatiotemporal patterns. This synchronization occurs across various intra-layer coupling configurations, revealing novel network dynamics.

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Area of Science:

  • Nonlinear Dynamics
  • Complex Networks
  • Computational Physics

Background:

  • Van der Pol oscillators are fundamental in modeling self-sustained oscillations.
  • Bilayer networks allow for studying emergent phenomena from coupled systems.
  • Synchronization in coupled oscillators is a key area in complex systems research.

Purpose of the Study:

  • To investigate synchronization phenomena in bilayer networks of van der Pol oscillators.
  • To analyze the impact of repulsive inter-layer coupling on network dynamics.
  • To explore synchronization with varying intra-layer coupling topologies.

Main Methods:

  • Numerical simulations of coupled 2D lattices of van der Pol oscillators.
  • Analysis of synchronization using correlation coefficients between network nodes.
  • Systematic variation of inter-layer and intra-layer coupling parameters.

Main Results:

  • Repulsive inter-layer coupling consistently leads to anti-phase synchronization.
  • Anti-phase synchronization was observed for all tested intra-layer coupling topologies.
  • The correlation coefficient near -1 quantifies the observed anti-phase synchronization.
  • Synchronous structure morphology is dependent on intra-layer coupling strengths.

Conclusions:

  • Repulsive inter-layer coupling is a robust mechanism for inducing anti-phase synchronization in these networks.
  • The findings offer insights into controlling and predicting collective behavior in coupled oscillatory systems.
  • This study highlights the potential for designing complex network behaviors through tailored coupling strategies.