Explosive synchronization in weighted complex networks

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 88, Issue 4, 2013, Pages

  Leyva, I ^a,b   Sendina Nadal I ^a,b   Almendral, J A ^a,b   Navas, A ^b   Olmi, S ^c,d   Boccaletti, S ^c  

^a UNIVERSIDAD REY JUAN CARLOS   (Spain)

^b UNIVERSIDAD POLITÉCNICA DE MADRID   (Spain)

^c CNR   (Italy)

^d INFN SEZIONE DI FIRENZE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ABRUPT TRANSITION; FREQUENCY DISTRIBUTIONS; FREQUENCY MISMATCH; GLOBAL INFORMATIONS; INITIAL FREQUENCY; WEIGHTED COMPLEX NETWORKS; WEIGHTING FUNCTIONS; WEIGHTING PROCEDURE;

HETEROGENEOUS NETWORKS; TOPOLOGY;

EXPLOSIVES;

ARTICLE; THEORETICAL MODEL; TIME;

MODELS, THEORETICAL; TIME FACTORS;

EID: 84886058455     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.88.042808     Document Type: Article

References (30)

1. S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, and D. U. Hwang, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2005.10.009 424, 175 (2006). (Pubitemid 43135890)
2. S. N. Dorogovtsev, A. V. Goltsev, and J. F. F. Mendes, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.80.1275 80, 1275 (2008).
3. R. Cohen, D. ben-Avraham, and S. Havlin, Phys. Rev. E 1063-651X 10.1103/PhysRevE.66.036113 66, 036113 (2002); (Pubitemid 40606444)
4. M. Karsai, J-Ch. Anglès d'Auriac, and F. Iglói, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.76.041107 76, 041107 (2007); (Pubitemid 47569197)
5. G. Li, L. A. Braunstein, S. V. Buldyrev, S. Havlin, and H. E. Stanley, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.75.045103 75, 045103 (2007). (Pubitemid 46626934)
6. D. Achlioptas, R. M. D'Souza, and J. Spencer, Science SCIEAS 0036-8075 10.1126/science.1167782 323, 1453 (2009).
7. Y. S. Cho, J. S. Kim, J. Park, B. Kahng, and D. Kim, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.135702 103, 135702 (2009);
8. F. Radicchi and S. Fortunato, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.168701 103, 168701 (2009);
9. P. Grassberger, C. Christensen, G. Bizhani, S.-W. Son, and M. Paczuski, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.225701 106, 225701 (2011).
10. S. Boccaletti, J. Kurths, G. Osipov, D. L. Valladares, and C. S. Zhou, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(02)00137-0 366, 1 (2002).
11. A. Arenas, A. Díaz-Guilera, J. Kurths, Y. Moreno, and C. S. Zhou, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2008.09.002 469, 93 (2008).
12. P. G. Lind, A. Nunes, and J. A. C. Gallas, Physica A PHYADX 0378-4371 10.1016/j.physa.2006.04.091 371, 100 (2006). (Pubitemid 44302287)
13. Y. Kuramoto, Chemical Oscillations, Waves and Turbulence (Springer, Berlin, 1984).
14. D. Pazó, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.72.046211 72, 046211 (2005). (Pubitemid 41777965)
15. J. Gómez-Gardeñes, S. Gómez, A. Arenas, and Y. Moreno, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.128701 106, 128701 (2011).
16. I. Leyva, R. Sevilla-Escoboza, J. M. Buldú, I. Sendiña-Nadal, J. Gómez-Gardeñes, A. Arenas, Y. Moreno, S. Gómez, R. Jaimes-Reátegui, and S. Boccaletti, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.108.168702 108, 168702 (2012).
17. X. Zhang, X. Hu, J. Kurths, and Z. Liu, Phys. Rev. E 1539-3755 10.1103/PhysRevE.88.010802 88, 010802 (R) (2013).
18. I. Leyva, A. Navas, I. Sendiña-Nadal, J. A. Almendral, J. M. Buldú, M. Zanin, D. Papo, and S. Boccaletti, Sci. Rep. 10.1038/srep01281 3, 1281 (2013).
19. P. Erdos and A. Rényi, Publ. Math. Debrecen 6, 290 (1959).
20. G. W. Cochran, Sampling Techniques (John Willey & Sons, New York, 1977), pp 74-76.
21. E. A. Bender and E. R. Canfield, J. Combin. Theory Ser. A JCBTA7 0097-3165 10.1016/0097-3165(78)90059-6 24, 296 (1978).
22. J. Gómez-Gardeñes and Y. Moreno, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.73.056124 73, 056124 (2006). (Pubitemid 43788437)
23. A.-L. Barabási and R. Albert, Science SCIEAS 0036-8075 10.1126/science.286.5439.509 286, 509 (1999).
24. T. Nishikawa, A. E. Motter, Y.-C. Lai, and F. C. Hoppensteadt, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.014101 91, 014101 (2003).
25. A. E. Motter, C. S. Zhou, and J. Kurths, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2004-10365-4 69, 334 (2005); (Pubitemid 40205242)
26. A. E. Motter, C. S. Zhou, and J. Kurths, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.71.016116 71, 016116 (2005). (Pubitemid 40619997)
27. M. Chavez, D.-U. Hwang, A. Amann, H. G. E. Hentschel, and S. Boccaletti, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.218701 94, 218701 (2005). (Pubitemid 41636715)
28. M. E. J. Newman and M. Girvan, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.69.026113 69, 026113 (2004).
29. S. H. Strogatz, Phys. D PDNPDT 0167-2789 10.1016/S0167-2789(00)00094-4 143, 1 (2000).
30. A. E. Motter, S. A. Myers, M. Anghel, and T. Nishikawa, Nat. Phys. 1745-2473 10.1038/nphys2535 9, 191 (2013).