Determination of the critical coupling of explosive synchronization transitions in scale-free networks by mean-field approximations

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

Volumn 86, Issue 5, 2012, Pages

  Peron, Thomas Kauê Dal'Maso ^a   Rodrigues, Francisco A ^a  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL RESULTS; AVERAGE DEGREE; CRITICAL COUPLING; DEGREE DISTRIBUTIONS; FREQUENCY DISTRIBUTIONS; INVERSE DEPENDENCE; MEAN FIELD APPROXIMATION; SCALE FREE NETWORKS; STATISTICAL MOMENTS; SYNCHRONIZATION TRANSITIONS; UNIMODAL;

CONDENSED MATTER PHYSICS; PHYSICS;

SYNCHRONIZATION;

EID: 84870417595     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.86.056108     Document Type: Article

References (24)

1. A. Barrat, M. Barthlemy, and A. Vespignani, Dynamical Processes on Complex Networks (Cambridge University Press, Cambridge, 2008).
2. A. Arenas, A. Díaz-Guilera, J. Kurths, Y. Moreno, and C. Zhou, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2008.09.002 469, 93 (2008).
3. A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Sciences, Vol. 12 (Cambridge University Press, Cambridge, 2003).
4. Y. Moreno and A. F. Pacheco, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2004-10238-x 68, 603 (2004).
5. A. Arenas, A. Diaz-Guilera, and C. Pérez-Vicente, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.114102 96, 114102 (2006).
6. C. Zhou and J. Kurths, Chaos CHAOEH 1054-1500 10.1063/1.2150381 16, 015104 (2006).
7. J. Gómez-Gardenes, Y. Moreno, and A. Arenas, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.034101 98, 034101 (2007).
8. J. Gómez-Gardeñes, Y. Moreno, and A. Arenas, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.75.066106 75, 066106 (2007).
9. L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.2109 80, 2109 (1998).
10. M. Barahona and L. M. Pecora, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.054101 89, 054101 (2002).
11. 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).
12. D. Watts and S. Strogatz, Nature (London) NATUAS 0028-0836 10.1038/30918 393, 440 (1998).
13. J. Gomez-Gardeñes, S. Gomez, A. Arenas, and Y. Moreno, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.128701 106, 128701 (2011).
14. 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. 0031-9007 10.1103/PhysRevLett.108.168702 108, 168702 (2012).
15. T. K. D. M. Peron and F. A. Rodrigues, Phys. Rev. E 1539-3755 10.1103/PhysRevE.86.016102 86, 016102 (2012).
16. H. Chen, F. Huang, C. Shen, and Z. Hou (2012), arXiv: 1204.1816.
17. J. A. Acebrón, L. L. Bonilla, C. J. P. Vicente, F. Ritort, and R. Spigler, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.77.137 77, 137 (2005).
18. T. Ichinomiya, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.70.026116 70, 026116 (2004).
19. J. G. Restrepo, E. Ott, and B. R. Hunt, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.71.036151 71, 036151 (2005).
20. A.-L. Barabási and R. Albert, Science SCIEAS 0036-8075 10.1126/science.286.5439.509 286, 509 (1999).
21. M. Newman, Networks: An Introduction (Oxford University Press, New York, 2010).
22. H. Hong, H. Park, and L. H. Tang, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.76.066104 76, 066104 (2007).
23. D.-S. Lee, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.72.026208 72, 026208 (2005).
24. H. Hong, M. Y. Choi, and B. J. Kim, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.65.026139 65, 026139 (2002).