Network synchronization: Spectral versus statistical properties
arXiv:0706.3069 · doi:10.1016/j.physd.2006.09.018
Abstract
We consider synchronization of weighted networks, possibly with asymmetrical connections. We show that the synchronizability of the networks cannot be directly inferred from their statistical properties. Small local changes in the network structure can sensitively affect the eigenvalues relevant for synchronization, while the gross statistical network properties remain essentially unchanged. Consequently, commonly used statistical properties, including the degree distribution, degree homogeneity, average degree, average distance, degree correlation, and clustering coefficient, can fail to characterize the synchronizability of networks.
References in corpus (18)
- Emergence of scaling in random networks
- Statistical mechanics of complex networks
- The structure and function of complex networks
- Evolution of networks
- Synchronization in small-world systems
- Heterogeneity in oscillator networks: Are smaller worlds easier to synchronize?
- Network Synchronization, Diffusion, and the Paradox of Heterogeneity
- Synchronization on small-world networks
- Sufficient Conditions for Fast Switching Synchronization in Time Varying Network Topologies
- Enhancing complex-network synchronization
- Spectral Properties and Synchronization in Coupled Map Lattices
- Delays, connection topology, and synchronization of coupled chaotic maps
- Factors that predict better synchronizability on complex networks
- Synchronization of discrete-time dynamical networks with time-varying couplings
- Synchronization of networks with prescribed degree distributions
- The synchronizability of highly clustered scale-free networks
- On the emergence of complex systems on the basis of the coordination of complex behaviors of their elements
- Synchronization of degree correlated physical networks
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