Path-integral approach to the dynamics in sparse random network

Details Path-integral approach to the dynamics in sparse random network Path-integral approach to the dynamics in sparse random network

2005-07-13

arxiv.org/abs/cond-mat/0507285v1

Phys. Rev. E 72, 016109(2005)

Physics

Condensed Matter

Disordered Systems and Neural Networks

Scientific paper

10.1103/PhysRevE.72.016109

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.

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