Phys. Rev. E 72, 016109 (2005) [9 pages]Path-integral approach to dynamics in a sparse random networkReceived 29 January 2005; published 12 July 2005 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. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.72.016109
DOI:
10.1103/PhysRevE.72.016109
PACS:
89.75.Hc, 89.75.Fb, 05.45.Xt
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.