Open AccessEffect of weighted scheme on synchronizability based on different network structures
Author(s) -
Dan Wang,
Jing Yuan-Wei,
Bin Hao
Publication year - 2012
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.61.170513
Subject(s) - weight distribution , node (physics) , topology (electrical circuits) , scheme (mathematics) , homogeneous , computer science , point (geometry) , product (mathematics) , weighted network , degree (music) , synchronization (alternating current) , complex network , mathematics , physics , mathematical analysis , combinatorics , geometry , quantum mechanics , acoustics , thermodynamics
Motivated by the observations that the weight of a link in realistic networks is strongly correlated with the product of the corresponding degrees, we present an asymmetrical weighted scheme relating to the degrees of starting point and terminal point, and investigate the effects of weighted scheme on synchronizability in light of different network structures. The results show that the more heterogeneous the degree distribution of network, the more remarkable the effect on enhanced synchronizability by the weighted method is. However, there is little effect on enhanced synchronizability by the weighted method for the homogeneous random network. It is shown that no matter whether small world networks or scale-free networks, the synchronizability is maximal when the total strength of all in-links of every node is equal to one.