Synchronization on directed small worlds: feed forward loops and cycles
arXiv:0809.2117 · doi:10.1209/0295-5075/84/40004
Abstract
In this paper we investigate the influence of directed motifs on the synchronization properties of Kuramoto oscillators on directed networks. Building different types of sparse directed small world networks similar to the Watts and Strogatz procedure we establish that feed forward loops favour synchronization on directed networks. The paper highlights the importance of local network characteristics for synchronization.
References in corpus (11)
- Heterogeneity in oscillator networks: Are smaller worlds easier to synchronize?
- Synchronization on small-world networks
- Paths to Synchronization on Complex Networks
- Entangled networks, synchronization, and optimal network topology
- Universality in the synchronization of weighted random networks
- Enhancing complex-network synchronization
- Synchronization in scale-free network with asymmetric coupling
- Synchronizability determined by coupling strengths and topology on Complex Networks
- Fitness for Synchronization of Network Motifs
- Does dynamics reflect topology in directed networks?
- Synchronization of networks with variable local properties