Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2001-10-18
Phys. Rev. E 65, 026139 (2002)
Physics
Condensed Matter
Disordered Systems and Neural Networks
Scientific paper
10.1103/PhysRevE.65.026139
We investigate collective synchronization in a system of coupled oscillators on small-world networks. The order parameters which measure synchronization of phases and frequencies are introduced and analyzed by means of dynamic simulations and finite-size scaling. Phase synchronization is observed to emerge in the presence of even a tiny fraction $P$ of shortcuts and to display saturated behavior for $P \gtrsim 0.5$. This indicates that the same synchronizability as the random network (P=1) can be achieved with relatively small number of shortcuts. The transient behavior of the synchronization, obtained from the measurement of the relaxation time, is also discussed.
Choi Min-Young
Hong Hanjing
Kim Beom Jun
No associations
LandOfFree
Synchronization on small-world networks does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Synchronization on small-world networks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Synchronization on small-world networks will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-283430