Synchronization in Scale Free networks with degree correlation

Details Synchronization in Scale Free networks with degree correlation Synchronization in Scale Free networks with degree correlation

2012-02-14

arxiv.org/abs/1202.3059v1

Physica A 390 (2011) 2840-2844

Physics

Physics and Society

11 pages, 6 figures

Scientific paper

10.1016/j.physa.2011.03.013

In this paper we study a model of synchronization process on scale free networks with degree-degree correlations. This model was already studied on this kind of networks without correlations by Pastore y Piontti {\it et al.}, Phys. Rev. E {\bf 76}, 046117 (2007). Here, we study the effects of the degree-degree correlation on the behavior of the load fluctuations $W_s$ in the steady state. We found that for assortative networks there exist a specific correlation where the system is optimal synchronized. In addition, we found that close to this optimally value the fluctuations does not depend on the system size and therefore the system becomes fully scalable. This result could be very important for some technological applications. On the other hand, far from the optimal correlation, $W_s$ scales logarithmically with the system size.

Affiliated with

Also associated with

No associations

Rating

Synchronization in Scale Free networks with degree correlation 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 in Scale Free networks with degree correlation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Synchronization in Scale Free networks with degree correlation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-89880