Synchronization in weighted scale-free networks with degree-degree correlation

Physica D: Nonlinear Phenomena

Volumn 224, Issue 1-2, 2006, Pages 123-129

  Sorrentino, F ^a   di Bernardo, M ^a   Cuéllar, G Huerta ^b   Boccaletti, S ^b  

^a UNIVERSITY OF NAPLES FEDERICO II   (Italy)

^b ISTITUTO DEI SISTEMI COMPLESSI   (Italy)

Author keywords

Complex network; Synchronization

Indexed keywords

ELECTRIC NETWORK TOPOLOGY; ELECTRIC WIRING; OPTICAL CORRELATION; SYNCHRONIZATION;

DYNAMICAL SYSTEMS;

COMPUTER NETWORKS;

EID: 33751106667     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2006.09.030     Document Type: Article

References (26)

1. D.K. Arrowsmith, M. di Bernardo, F. Sorrentino, Effects of variation of load distribution on network performance, in: Proc. IEEE ISCAS, Kobe, Japan, 2005, pp. 3773-3776
2. Boccaletti S., Latora V., Moreno Y., Chavez M., and Hwang D.U. Complex networks: Structure and dynamics. Phys. Rep. 424 4-5 (2006) 175-308
3. Chavez M., Hwang D.U., Amann A., Hentschel H.G.E., and Boccaletti S. Synchronization is enhanced in weighted complex networks. Phys. Rev. Lett. 94 (2005) 218701
4. Wu C.W. Synchronization in networks of nonlinear dynamical systems coupled via a directed graph. Nonlinearity 18 3 (2005) 1057-1064
5. M. di Bernardo, F. Garofalo, F. Sorrentino, Synchronization of weighed and unweighed scale-free networks with degree mixing. Internat. J. Bifur. Chaos (in press)
6. M. di Bernardo, F. Garofalo, F. Sorrentino, Effects of degree correlation on the synchronizability of networks of nonlinear oscillators. Internat. J. Bifur. Chaos 2006 (in press)
7. Dorogovtsev S.N., Goltsev A.V., and Mendes J.F.F. Ising model on networks with an arbitrary distribution of connections. Phys. Rev. E 66 (2002) 016104
8. Dorogovtsev S.N., Goltsev A.V., and Mendes J.F.F. Potts model on complex networks. Eur. Phys. J. B 38 (2004) 177-182
9. Hwang D.U., Chavez M., Amann A., and Boccaletti S. Synchronization in complex networks with age ordering. Phys. Rev. Lett. 94 (2005) 138701
10. Goh K.-I., Kahng B., and Kim D. Universal behavior of load distribution in scale-free networks. Phys. Rev. Lett. 87 (2001) 278701
11. Guimera R., Arenas A., Diaz-Guilera A., Vega-Redondo F., and Cabrales A. Optimal network topologies for local search with congestion. Phys. Rev. Lett. 89 (2002) 248701
12. Pecora L.M., and Carroll T.L. Master stability functions for synchronized coupled systems. Phys. Rev. Lett. 80 (1998) 2109
13. Boguña M., and Satorras R.P. Epidemic spreading in correlated complex networks. Phys. Rev. E 66 (2002) 047104
14. Molloy M., and Reed B. A critical point for random graphs with a given degree sequence. Random Structures Algorithms 6 (1995) 161-179
15. Moore C., and Newman M.E.J. Exact solution of site and bond percolation on small-world networks. Phys. Rev. E 62 (2000) 7059-7064
16. Motter A.E., Zhou C.S., and Kurths J. Enhancing complex-network synchronization. Europhys. Lett. 69 (2005) 334
17. Motter A.E., Zhou C.S., and Kurths J. Network synchronization, diffusion, and the paradox of heterogeneity. Phys. Rev. E 71 (2005) 016116
18. Newman M.E.J. Scientific collaboration networks: shortest paths, weighted networks, and centrality. Phys. Rev. E 64 (2001) 016132
19. Newman M.E.J. Assortative mixing in networks. Phys. Rev. Lett. 89 (2002) 208701
20. Newman M.E.J. The spread of epidemic disease on networks. Phys. Rev. E 66 (2002) 016128
21. Newman M.E.J. Mixing patterns in networks. Phys. Rev. E 67 (2003) 026126
22. Nishikawa T., and Motter A.E. Synchronization is optimal in non-diagonizable networks. Phys. Rev. E 73 (2006) 065106
23. Ohira T., and Sawatari R. Phase transition in a computer network traffic model. Phys. Rev. E 58 (1998) 193-195
24. Pastor-Satorras R., and Vespignani A. Epidemic spreading in scale-free networks. Phys. Rev. Lett. 86 (2001) 3200
25. Nishikawa T., Motter A.E., Lai Y., and Hoppensteadt F.C. Heterogeneity in oscillator networks: Are smaller worlds easier to synchronize?. Phys. Rev. Lett. 91 (2003) 014101
26. Lu W., and Chen T. Synchronization analysis of linearly coupled networks of discrete time systems. Physica D 198 1-2 (2004) 148-168