Optimal synchronization on strongly connected directed networks
arXiv:0911.1821 · doi:10.1140/epjb/e2010-00016-7
Abstract
In this paper we construct and analyse strongly connected sparse directed networks with an enhanced propensity for synchronization (PFS). Two types of PFS-enhanced networks are considered: (i) an eigenratio minimizing ensemble with non-vanishing complex parts of the spectrum and (ii) a class of networks with real spectrum but slightly larger eigenratios than (i). We relate the superior PFSs to a strongly skewed out-degree distribution, the density of double links and a hierarchical periphery-core organization. Ensembles (i) and (ii) are found to differ in the density of double links and the particular organization of the core and the periphery-core linkage.
10pages, 8 figures
References in corpus (9)
- Synchronization in complex networks
- Network Synchronization, Diffusion, and the Paradox of Heterogeneity
- Enhancing complex-network synchronization
- Synchronization in scale-free network with asymmetric coupling
- Network synchronization: Spectral versus statistical properties
- Synchrony-optimized Networks of Non-identical Kuramoto Oscillators
- Synchronization Properties of Network Motifs
- Does dynamics reflect topology in directed networks?
- Synchronization on directed small worlds: feed forward loops and cycles