Synchronization transition in scale-free networks: Clusters of synchrony

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

Volumn 72, Issue 2, 2005, Pages

  Lee, Deok Sun ^a  

^a SAARLAND UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE-SIZE SCALING BEHAVIOR; MEAN-FIELD APPROACH;

ASYMPTOTIC STABILITY; LARGE SCALE SYSTEMS;

SYNCHRONIZATION;

EID: 27244457780     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.72.026208     Document Type: Article

References (35)

1. D. J. Watts and S. H. Strogatz, Nature (London) NATUAS 0028-0836 10.1038/30918 393, 440 (1998).
2. R. Albert and A.-L. Barabási, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.74.47 74, 47 (2002).
3. A.-L. Barabási and R. Albert, Science SCIEAS 0036-8075 10.1126/science.286.5439.509 286, 509 (1999).
4. R. Albert, H. Jeong, and A.-L. Barabási, Nature (London) NATUAS 0028-0836 10.1038/35019019 406, 378 (2000).
5. R. Pastor-Satorras and A. Vespignani, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.3200 86, 3200 (2001);
6. R. Pastor-Satorras and A. Vespignani, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.066117 63, 066117 (2001).
7. D. J. Watts, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.082090499 99, 5766 (2002).
8. K.-I. Goh, D.-S. Lee, B. Kahng, and D. Kim, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.148701 91, 148701 (2003);
9. D.-S. Lee, K.-I. Goh, B. Kahng, and D. Kim, J. Korean Phys. Soc. KPSJAS 0374-4884 44, 633 (2004);
10. D.-S. Lee, K.-I. Goh, B. Kahng, and D. Kim, Physica A PHYADX 0378-4371 10.1016/j.physa.2004.02.028 338, 84 (2004).
11. L. K. Gallos and P. Argyrakis, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.138301 92, 138301 (2004).
12. M. Catanzaro, M. Boguna, and R. Pastor-Satorras, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.056104 71, 056104 (2005).
13. S. H. Strogatz, Nature (London) NATUAS 0028-0836 10.1038/35065725 410, 268 (2001).
14. G. Korniss, M. A. Novotny, H. Guclu, Z. Toroczkai, and P. A. Rikvold, Science SCIEAS 0036-8075 10.1126/science.1079382 299, 677 (2003).
15. V. M. Eguíluz, D. R. Chialvo, G. A. Cecchi, M. Baliki, and A. V. Apkarian, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.018102 94, 018102 (2005).
16. C.-W. Shin and S. Kim, cond-mat/0408700, 2004.
17. J. J. Hopfield and C. D. Brody, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.031567098 98, 1282 (2001).
18. M. Barahona and L. M. Pecora, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.054101 89, 054101 (2002).
19. 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).
20. H. Hong, B. J. Kim, M. Y. Choi, and H. Park, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.067105 69, 067105 (2004).
21. Y. Kuramoto, in Proceedings of the International Symposium on Mathematical Problems in Theoretical Physics, edited by, H. Araki, (Springer-Verlag, New York, 1975);
22. Y. Kuramoto, Chemical Oscillations, Waves, and Turbulence (Springer-Verlag, Berlin, 1984).
23. S. H. Strogatz, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(00)00094-4 143, 1 (2000).
24. H. Daido, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/20/10/002 20, L629 (1987).
25. H. Hong, M. Y. Choi, and B. J. Kim, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.026139 65, 026139 (2002).
26. P. Erdös and A. Rényi, Publ. Inst. Hung. Acad. Sci. 5, 17 (1960);
27. P. Erdös and A. Rényi, Bull. Inst. Int. Stat. 38, 343 (1961).
28. K.-I. Goh, B. Kahng, and D. Kim, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.278701 87, 278701 (2001).
29. D.-S. Lee, K.-I. Goh, B. Kahng, and D. Kim, Nucl. Phys. B NUPBBO 0550-3213 10.1016/j.nuclphysb.2004.06.029 696, 351 (2004).
30. Y. Moreno and A. F. Pacheco, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2004-10238-x 68, 603 (2004).
31. R. Cohen, D. ben-Avraham, and S. Havlin, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.036113 66, 036113 (2002);
32. R. Cohen, S. Havlin, and D. ben-Avraham, in Handbook of Graphs and Networks, edited by, S. Bornholdt, and, H. G. Shuster, (Wiley-VCH, New York, 2002), Chap..
33. C. P. Herrero, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.067109 69, 067109 (2004).
34. S. N. Dorogovtsev, A. V. Goltsev, and J. F. F. Mendes, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.016104 66, 016104 (2002).
35. T. Ichinomiya, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.026116 70, 026116 (2004).