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Geographical effect on weighted network synchronisation

  • Nonlinear Dynamics
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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.

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References

  1. A. Arenas, A. Díaz-Guilera, J. Kurths, Y. Moreno, C. Zhou, Phys. Rep. 469, 93 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  2. A.-L. Barabási, Rev. Mod. Phys. 74, 47 (2002)

    Article  ADS  Google Scholar 

  3. S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, D.-U. Hwang, Phys. Rep. 424, 175 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  4. M. Newman, Phys. Today, 33 (2008)

  5. T. Nishikawa, A.E. Motter, Y.-C. Lai, F.C. Hoppensteadt, Phys. Rev. Lett. 91, 014101 (2003)

    Article  ADS  Google Scholar 

  6. L. Huang, K. Park, Y.-C. Lai, L. Yang, K. Yang, Phys. Rev. Lett. 97, 164101 (2006)

    Article  ADS  Google Scholar 

  7. X. Wang, Y.-C Lai, C. H Lai, Phys. Rev. E 75, 056205 (2007)

    Article  ADS  Google Scholar 

  8. J. Gomez-Gardenes, Y. Moreno, A. Arenas, Phys. Rev. Lett. 98, 034101 (2007)

    Article  ADS  Google Scholar 

  9. S. Boccaletti, D.-U. Hwang, M. Chavez, A. Amann, J. Kurths, L.M. Pecora, Phys. Rev. E 74, 016102 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  10. Z. Duan, G. Chen, L. Huang, Phys. Rev. E 76, 056103 (2007)

    Article  ADS  Google Scholar 

  11. Y.-F. Lu, M. Zhao, T. Zhou, B.-H. Wang, Phys. Rev. E 76, 057103 (2007)

    Article  ADS  Google Scholar 

  12. C.-Y. Yin, B.-H. Wang, W.-X. Wang, G.-R. Chen, Phys. Rev. E 77, 027102 (2008)

    Article  ADS  Google Scholar 

  13. Z. Zhang, L. Rong, S. Zhou, Phys. Rev. E 74, 046105 (2006)

    Article  ADS  Google Scholar 

  14. L.M. Pecora, T.L. Carroll, Phys. Rev. Lett. 80, 2109 (1998)

    Article  ADS  Google Scholar 

  15. M. Barahona, L.M. Pecora, Phys. Rev. Lett. 89, 054101 (2002)

    Article  ADS  Google Scholar 

  16. C. Zhou, A.E. Motter, J. Kurths, Phys. Rev. Lett. 96, 034101 (2006)

    Google Scholar 

  17. T. Nishikawa, A.E. Motter, Phys. Rev. E 73, 065106(R) (2006)

    Article  ADS  Google Scholar 

  18. D.J. Felleman, D.C.V. Essen, Cereb. Cortex 1, 1 (1991)

    Article  Google Scholar 

  19. G. Buzsáki, C. Geisler, D.A. Henze, X.-J. Wang, Trends Neurosci. 27, 186 (2004)

    Article  Google Scholar 

  20. E. Fischer, U. Sauer, Nat. Genet. 37, 636 (2005)

    Article  Google Scholar 

  21. J.J. Ramasco, S.N. Dorogovtsev, R. Pastor-Satorras, Phys. Rev. E 70, 036106 (2004)

    Article  ADS  Google Scholar 

  22. G. Korniss, M.A. Novotny, H. Guclu, Z. Toroczkai, P.A. Rikvold, Science 299, 677 (2003)

    Article  ADS  Google Scholar 

  23. G.A. Polis, Nature 395, 744 (1998)

    Article  ADS  Google Scholar 

  24. A.E. Motter, C.S. Zhou, J. Kurths, Europhys. Lett. 69, 334 (2005)

    Article  ADS  Google Scholar 

  25. M. Chen, Y. Shang, C. Zhou, Y. Wu, J. Kurths, Chaos 19, 013105 (2009)

    Article  ADS  Google Scholar 

  26. M. Chavez, D.-U. Hwang, A. Amann, H.G.E. Hentschel, S. Boccaletti, Phys. Rev. Lett. 94, 218701 (2005)

    Article  ADS  Google Scholar 

  27. M. Jalili, A.A. Rad, M. Hasler, Phys. Rev. E 78, 016105 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  28. D. Huang, Phys. Rev. E 74, 046208 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  29. Q. Ren, J. Zhao, Phys. Rev. E 76, 016207 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  30. F. Sorrentino, E. Ott, Phys. Rev. Lett. 100, 114101 (2008)

    Article  ADS  Google Scholar 

  31. M. Chen, Phys. Rev. E 76, 016104 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  32. K.-I. Goh, B. Kahng, D. Kim, Phys. Rev. Lett. 87, 278701 (2001)

    Article  ADS  Google Scholar 

  33. L.C. Freeman, Sociometry 40, 35 (1977)

    Article  Google Scholar 

  34. P. Erdos, A. Renyi, Publ. Math. Inst. Hung. Acad. Sci. 5, 17 (1960)

    MathSciNet  Google Scholar 

  35. D.J. Watts, S.H. Strogatz, Nature 393, 440 (1998)

    Article  ADS  Google Scholar 

  36. A.-L. Barabási, R. Albert, Science 286, 509 (1999)

    Article  MathSciNet  Google Scholar 

  37. R. Cohen, S. Havlin, Phys. Rev. Lett. 90, 058701 (2003)

    Article  ADS  Google Scholar 

  38. A.E. Motter, C. Zhou, J. Kurths, Phys. Rev. E 71, 016116 (2005)

    Article  ADS  Google Scholar 

  39. J. Gómez-Gardenes, Y. Moreno, A. Arenas, Phys. Rev. E 75, 066106 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  40. K.-I. Goh, G. Salvi, B. Kahng, D. Kim, Phys. Rev. Lett. 96, 018701 (2006)

    Article  ADS  Google Scholar 

  41. H. Jeong, S. Mason, A.-L. Barabási, Z.N. Oltvai, Nature 411, 41 (2001)

    Article  ADS  Google Scholar 

  42. G. Hu, Y. Zhang, H.A. Cerdeira, S. Chen, Phys. Rev. Lett. 85, 3377 (2000)

    Article  ADS  Google Scholar 

  43. Z. Zheng, X. Wang, M.C. Cross, Phys. Rev. E 65, 056211 (2002)

    Article  MathSciNet  ADS  Google Scholar 

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Correspondence to Y. Ni.

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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

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  • DOI: https://doi.org/10.1140/epjd/e2009-00296-0

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