Abstract
The propensity for synchronisation of weighted and asymmetrical networks is investigated. The weighting scheme is employed when connection strengths are weighted according to local information. The weighting schemes of different level of information restriction are compared. It is found that the optimal network synchronisability is obtained when the weighting scheme is based on softly restricted information. It is even better than schemes based on global information. This implies that “more knowledge, better network synchronisability” is not always true. This is mainly due to a partial synchronisation phenomenon taking place at a cluster level. The finding may be helpful to gain a better understanding of why synchronisation is widely observed in many real large-scale systems while each node is aware of limited information about only a small part of a network.
Similar content being viewed by others
References
A. Arenas, A. Díaz-Guilera, J. Kurths, Y. Moreno, C. Zhou, Phys. Rep. 469, 93 (2008)
A.-L. Barabási, Rev. Mod. Phys. 74, 47 (2002)
S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, D.-U. Hwang, Phys. Rep. 424, 175 (2006)
M. Newman, Phys. Today, 33 (2008)
T. Nishikawa, A.E. Motter, Y.-C. Lai, F.C. Hoppensteadt, Phys. Rev. Lett. 91, 014101 (2003)
L. Huang, K. Park, Y.-C. Lai, L. Yang, K. Yang, Phys. Rev. Lett. 97, 164101 (2006)
X. Wang, Y.-C Lai, C. H Lai, Phys. Rev. E 75, 056205 (2007)
J. Gomez-Gardenes, Y. Moreno, A. Arenas, Phys. Rev. Lett. 98, 034101 (2007)
S. Boccaletti, D.-U. Hwang, M. Chavez, A. Amann, J. Kurths, L.M. Pecora, Phys. Rev. E 74, 016102 (2006)
Z. Duan, G. Chen, L. Huang, Phys. Rev. E 76, 056103 (2007)
Y.-F. Lu, M. Zhao, T. Zhou, B.-H. Wang, Phys. Rev. E 76, 057103 (2007)
C.-Y. Yin, B.-H. Wang, W.-X. Wang, G.-R. Chen, Phys. Rev. E 77, 027102 (2008)
Z. Zhang, L. Rong, S. Zhou, Phys. Rev. E 74, 046105 (2006)
L.M. Pecora, T.L. Carroll, Phys. Rev. Lett. 80, 2109 (1998)
M. Barahona, L.M. Pecora, Phys. Rev. Lett. 89, 054101 (2002)
C. Zhou, A.E. Motter, J. Kurths, Phys. Rev. Lett. 96, 034101 (2006)
T. Nishikawa, A.E. Motter, Phys. Rev. E 73, 065106(R) (2006)
D.J. Felleman, D.C.V. Essen, Cereb. Cortex 1, 1 (1991)
G. Buzsáki, C. Geisler, D.A. Henze, X.-J. Wang, Trends Neurosci. 27, 186 (2004)
E. Fischer, U. Sauer, Nat. Genet. 37, 636 (2005)
J.J. Ramasco, S.N. Dorogovtsev, R. Pastor-Satorras, Phys. Rev. E 70, 036106 (2004)
G. Korniss, M.A. Novotny, H. Guclu, Z. Toroczkai, P.A. Rikvold, Science 299, 677 (2003)
G.A. Polis, Nature 395, 744 (1998)
A.E. Motter, C.S. Zhou, J. Kurths, Europhys. Lett. 69, 334 (2005)
M. Chen, Y. Shang, C. Zhou, Y. Wu, J. Kurths, Chaos 19, 013105 (2009)
M. Chavez, D.-U. Hwang, A. Amann, H.G.E. Hentschel, S. Boccaletti, Phys. Rev. Lett. 94, 218701 (2005)
M. Jalili, A.A. Rad, M. Hasler, Phys. Rev. E 78, 016105 (2008)
D. Huang, Phys. Rev. E 74, 046208 (2006)
Q. Ren, J. Zhao, Phys. Rev. E 76, 016207 (2007)
F. Sorrentino, E. Ott, Phys. Rev. Lett. 100, 114101 (2008)
M. Chen, Phys. Rev. E 76, 016104 (2007)
K.-I. Goh, B. Kahng, D. Kim, Phys. Rev. Lett. 87, 278701 (2001)
L.C. Freeman, Sociometry 40, 35 (1977)
P. Erdos, A. Renyi, Publ. Math. Inst. Hung. Acad. Sci. 5, 17 (1960)
D.J. Watts, S.H. Strogatz, Nature 393, 440 (1998)
A.-L. Barabási, R. Albert, Science 286, 509 (1999)
R. Cohen, S. Havlin, Phys. Rev. Lett. 90, 058701 (2003)
A.E. Motter, C. Zhou, J. Kurths, Phys. Rev. E 71, 016116 (2005)
J. Gómez-Gardenes, Y. Moreno, A. Arenas, Phys. Rev. E 75, 066106 (2007)
K.-I. Goh, G. Salvi, B. Kahng, D. Kim, Phys. Rev. Lett. 96, 018701 (2006)
H. Jeong, S. Mason, A.-L. Barabási, Z.N. Oltvai, Nature 411, 41 (2001)
G. Hu, Y. Zhang, H.A. Cerdeira, S. Chen, Phys. Rev. Lett. 85, 3377 (2000)
Z. Zheng, X. Wang, M.C. Cross, Phys. Rev. E 65, 056211 (2002)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ni, Y., Wu, L., Zhu, S. et al. Geographical effect on weighted network synchronisation. Eur. Phys. J. D 56, 221–229 (2010). https://doi.org/10.1140/epjd/e2009-00296-0
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjd/e2009-00296-0