2006/08/18 by Sung Min Park, Beom Jun Kim
Biochemistry, Genetics and Molecular Biology · Neuroscience · Physics and Astronomy · #Neural dynamics and brain function #Opinion Dynamics and Social Influence #q-bio.QM #stochastic dynamics and bifurcation
paper · pdf · doi:10.1103/physreve.74.026114
published as Phys. Rev. E 74, 026114 (2006)
openalex publication_date 2006/08/18 · arxiv created 2006/09/11 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.