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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.)
|July 9, 2021
Summary
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.
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.
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