7–9 Apr 2011
Europe/Stockholm timezone

Kuramoto model on interdependent networks

9 Apr 2011, 11:40
40m
FD5

FD5

Speaker

Prof. Beom Jun Kim (Sungkyunkwan University)

Description

We explore the synchronization behavior in the interdependent system, where the 1D network is ferromagnetically intercoupled to the Watts-Strogatz (WS) small-world network. In the absence of the internetwork coupling, the former network is well known not to exhibit the synchronized phase at any finite coupling strength, whereas the latter displays the mean-field transition. Through an analytic approach based on the mean-field approximation, it is found that for the weakly coupled and thus nonsynchronized 1D network becomes a heavier burden for the synchronization process of the WS network. As the intracoupling in the 1D network becomes stronger, the more enhanced partial synchronization in the 1D network makes the burden lighter. Extensive numerical simulations confirm these expected behaviors, while exhibiting a reentrant behavior in the intermediate range of coupling strength. The nonmonotonic change of the critical value of JII is also compared with the result from the numerical renormalization group calculation.

Presentation materials

There are no materials yet.