Work

Path-integral approach to dynamics in a sparse random network

Year: 2005
Type: article
Abstract: We study the dynamics involved in a sparse random network model. We extend the standard mean-field approximation for the dynamics of a random network by employing the path-integral approach. The result indicates that the distribution of the variable is essentially identical to that obtained from globally coupled oscillators with random Gaussian interaction. We present the results of a numerical simulation of the Kuramoto transition in a random network, which is found to be consistent with this analysis.
Institution: Hokkaido University
Language: English
Open Access status: green
OpenAlex ID: W1967652178
FWCI: 3.591
Cites: 25
Cited by: 23
Related to: 10