Cluster explosive synchronization in complex networks

Physical Review Letters

Volumn 110, Issue 21, 2013, Pages

  Ji, Peng ^a,b   Peron, Thomas K Dm ^c   Menck, Peter J ^a,b   Rodrigues, Francisco A ^c   Kurths, Jürgen ^a,b,d  

^a POTSDAM INSTITUTE FOR CLIMATE IMPACT RESEARCH   (Germany)

^b HUMBOLDT UNIVERSITY   (Germany)

^c UNIVERSITY OF SÃO PAULO   (Brazil)

^d UNIVERSITY OF ABERDEEN   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ABRUPT TRANSITION; ANALYTICAL TREATMENT; KURAMOTO MODELS; KURAMOTO OSCILLATORS; MACROSCOPIC STATE; MEAN FIELD ANALYSIS; MICROSCOPIC MECHANISMS; SECOND ORDERS;

EXPLOSIVES;

SYNCHRONIZATION;

ARTICLE; CLUSTER ANALYSIS; COMPUTER SIMULATION; THEORETICAL MODEL;

CLUSTER ANALYSIS; COMPUTER SIMULATION; MODELS, THEORETICAL;

EID: 84878421224     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.110.218701     Document Type: Article

References (21)

1. J. D. Noh and H. Rieger, Phys. Rev. Lett. 92, 118701 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.92.118701
2. S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, and D. Hwang, Phys. Rep. 424, 175 (2006). PRPLCM 0370-1573 10.1016/j.physrep.2005.10.009 (Pubitemid 43135890)
3. A. Barrat, M. Barthlemy, and A. Vespignani, Dynamical Processes on Complex Networks (Cambridge University Press, Cambridge, England, 2008).
4. L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. 80, 2109 (1998). PRLTAO 0031-9007 10.1103/PhysRevLett.80.2109
5. A. Arenas, A. Díaz-Guilera, J. Kurths, Y. Moreno, and C. Zhou, Phys. Rep. 469, 93 (2008). PRPLCM 0370-1573 10.1016/j.physrep.2008.09.002
6. J. Gómez-Gardeñes, S. Gómez, A. Arenas, and Y. Moreno, Phys. Rev. Lett. 106, 128701 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.128701
7. 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. 108, 168702 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.168702
8. T. K. D. Peron and F. A. Rodrigues, Phys. Rev. E 86, 016102 (2012). PLEEE8 1539-3755 10.1103/PhysRevE.86.016102
9. T. K. D. Peron and F. A. Rodrigues, Phys. Rev. E 86, 056108 (2012). PLEEE8 1539-3755 10.1103/PhysRevE.86.056108
10. M. Rohden, A. Sorge, M. Timme, and D. Witthaut, Phys. Rev. Lett. 109, 064101 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.064101
11. J. A. Acebrón and R. Spigler, Phys. Rev. Lett. 81, 2229 (1998). PRLTAO 0031-9007 10.1103/PhysRevLett.81.2229
12. F. Dorfler and F. Bullo, SIAM J. Control Optim. 50, 1616 (2012). SJCODC 0363-0129 10.1137/110851584
13. B. R. Trees, V. Saranathan, and D. Stroud, Phys. Rev. E 71, 016215 (2005). PLEEE8 1539-3755 10.1103/PhysRevE.71.016215 (Pubitemid 40620022)
14. J. W. S. Porco, F. Dörfler, and F. Bullo (to be published).
15. A. Pluchino, S. Boccaletti, V. Latora, and A. Rapisarda, Physica (Amsterdam) 372A, 316 (2006). PHYCE6 0378-4371 10.1016/j.physa.2006.08.016 (Pubitemid 44585161)
16. Z. Néda, E. Ravasz, T. Vicsek, Y. Brechet, and A. L. Barabási, Phys. Rev. E 61, 6987 (2000). PLEEE8 1063-651X 10.1103/PhysRevE.61.6987
17. T. Ichinomiya, Phys. Rev. E 70, 026116 (2004). PLEEE8 1539-3755 10.1103/PhysRevE.70.026116
18. H.-A. Tanaka, A. J. Lichtenberg, and S. Oishi, Physica (Amsterdam) 100D, 279 (1997). PHYADX 0167-2789 10.1016/S0167-2789(96)00193-5
19. H.-A. Tanaka, A. J. Lichtenberg, and S. Oishi, Phys. Rev. Lett. 78, 2104 (1997). PRLTAO 0031-9007 10.1103/PhysRevLett.78.2104
20. S. Strogatz, Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering (Addison-Wesley, Reading, MA, 1994).
21. J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Springer-Verlag, Berlin, 1983), Vol. 42.