Dynamic behaviors in directed networks

Details Dynamic behaviors in directed networks Dynamic behaviors in directed networks

2006-09-11

arxiv.org/abs/q-bio/0609016v1

Phys. Rev. E 74, 026114 (2006)

Biology

Quantitative Biology

Quantitative Methods

Scientific paper

10.1103/PhysRevE.74.026114

Motivated by the abundance of directed synaptic couplings in a real biological neuronal network, we investigate the synchronization behavior of the Hodgkin-Huxley model in a directed network. We start from the standard model of the Watts-Strogatz undirected network and then change undirected edges to directed arcs with a given probability, still preserving the connectivity of the network. A generalized clustering coefficient for directed networks is defined and used to investigate the interplay between the synchronization behavior and underlying structural properties of directed networks. We observe that the directedness of complex networks plays an important role in emerging dynamical behaviors, which is also confirmed by a numerical study of the sociological game theoretic voter model on directed networks.

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