Frustrated Synchronization of the Kuramoto Model on Complex Networks
Author Information
Author(s): Ódor Géza, Deng Shengfeng, Kelling Jeffrey, Drożdż Stanisław
Primary Institution: Institute of Technical Physics and Materials Science, HUN-REN Centre for Energy Research, Budapest, Hungary
Hypothesis
The study investigates the synchronization transition of the Kuramoto model on large graphs with varying spectral dimensions.
Conclusion
The research finds that quenched topological disorder is relevant, leading to a smeared frustrated phase transition instead of the expected mean-field behavior.
Supporting Evidence
- The study shows strong corrections to scaling and mean-field type of criticality at d=5.
- The ll model exhibits a non-mean-field smeared transition.
- Network heterogeneity is relevant, causing frustrated synchronization.
Takeaway
The study looks at how groups of oscillators synchronize on big networks, finding that the way they connect can make it harder for them to sync up.
Methodology
The Kuramoto model was studied using numerical simulations on large graphs with varying spectral dimensions, analyzing synchronization transitions.
Limitations
The presence of oscillating corrections to scaling complicates the analysis of the data.
Digital Object Identifier (DOI)
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