Hub Synchronization in Scale-Free Networks
arXiv:1005.3803 · doi:10.1103/PhysRevE.82.036201
Abstract
Heterogeneity in the degree distribution is known to suppress global synchronization in complex networks of symmetrically coupled oscillators. Scale-free networks display a great deal of heterogeneity, containing a few nodes, termed hubs, that are highly connected, while most nodes receive only a few connections. Here, we show that a group of synchronized nodes may appear in scale-free networks: hubs undergo a transition to synchronization while the other nodes remain unsynchronized. This general phenomenon can occur even in the absence of global synchronization. Our results suggest that scale-free networks may have evolved to complement various levels of synchronization.
4 pages, 1 figure
References in corpus (11)
- Statistical mechanics of complex networks
- Error and attack tolerance of complex networks
- Synchronization in complex networks
- Synchronization in small-world systems
- Scale-free brain functional networks
- Heterogeneity in oscillator networks: Are smaller worlds easier to synchronize?
- Network Synchronization, Diffusion, and the Paradox of Heterogeneity
- Paths to Synchronization on Complex Networks
- Approximating the largest eigenvalue of network adjacency matrices
- Synchronization transition in scale-free networks: Clusters of synchrony
- Optimal network topologies for information transmission in active networks
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- Chimera-like States in Structured Heterogeneous Networks
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- Node differentiation dynamics along the route to synchronization in complex networks
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- Abnormal Synchronizing Path of Delay-coupled Chaotic Oscillators on the Edge of Stability
- Small-worldness favours network inference
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- Interplay between Network Topology and Dynamics in Neural Systems
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