Factors that predict better synchronizability on complex networks
arXiv:cond-mat/0403745 · doi:10.1103/PhysRevE.69.067105
Abstract
While shorter characteristic path length has in general been believed to enhance synchronizability of a coupled oscillator system on a complex network,the suppressing tendency of the heterogeneity of the degree distribution, even for shorter characteristic path length, has also been reported. To see this, we investigate the effects of various factors such as the degree, characteristic path length, heterogeneity, and betweenness centrality on synchronization, and find a consistent trend between the synchronization and the betweenness centrality. The betweenness centrality is thus proposed as a good indicator for synchronizability.
to appear in Phys. Rev. E
References in corpus (10)
- Statistical mechanics of complex networks
- The diameter of the world wide web
- Evolution of networks
- Synchronization in small-world systems
- Universal Behavior of Load Distribution in Scale-free Networks
- Heterogeneity in oscillator networks: Are smaller worlds easier to synchronize?
- Synchronization on small-world networks
- Betweenness centrality correlation in social networks
- Spectral Properties and Synchronization in Coupled Map Lattices
- Vertex overload breakdown in evolving networks
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- Nature-Inspired Interconnects for Self-Assembled Large-Scale Network-on-Chip Designs
- Efficient Rewirings for Enhancing Synchronizability of Dynamical Networks
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- The synchronizability of highly clustered scale-free networks
- Comment on ``Scientific collaboration networks. II. Shortest paths, weighted networks, and centrality"
- Enhancing synchronization by directionality in complex networks
- Chaos synchronization in networks of coupled maps with time-varying topologies
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- Sync in Complex Dynamical Networks: Stability, Evolution, Control, and Application
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- Optimal synchronization on strongly connected directed networks
- Rewiring hierarchical scale-free networks: Influence on synchronizability and topology
- On Irregular Interconnect Fabrics for Self-Assembled Nanoscale Electronics
- Enhancing synchronization in growing networks
- Pulsed chaos synchronization in networks with adaptive couplings
- Graph Theory and Networks in Biology
- Designing Networks: A Mixed-Integer Linear Optimization Approach
- Sequence Nets
- L2 norm performance index of synchronization and optimal control synthesis of complex networks
- Analysis and control of network synchronizability
- Coherence in complex networks of oscillators
- Linked by Loops: Network Structure and Switch Integration in Complex Dynamical Systems
- Effects of Hebbian learning on the dynamics and structure of random networks with inhibitory and excitatory neurons
- Exact Analysis of Synchronizability for Complex Networks using Regular Graphs