Network structure, topology, and dynamics in generalized models of synchronization

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

Volumn 86, Issue 2, 2012, Pages

  Lerman, Kristina ^a   Ghosh, Rumi ^a  

^a UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIOLOGICAL PROCESS; COMMUNITY STRUCTURES; COUPLED OSCILLATORS; DIFFERENT STRUCTURE; DISTRIBUTED SYNCHRONIZATION; GENERALIZED MODELS; NETWORK STRUCTURES; REAL-WORLD NETWORKS; STEADY STATE;

DYNAMICS; TOPOLOGY;

SYNCHRONIZATION;

EID: 84865029285     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.86.026108     Document Type: Article

References (23)

1. E. Ravasz, A. L. Somera, D. A. Mongru, Z. N. Oltvai, and A. L. Barabási, Science SCIEAS 0036-8075 10.1126/science.1073374 297, 1551 (2002). (Pubitemid 34971002)
2. A. W. Rives and T. Galitski, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.0237338100 100, 1128 (2003). (Pubitemid 36183967)
3. L. C. Freeman, in Dynamic Social Network Modeling and Analysis: Workshop Summary and Papers, edited by, R. Breiger, C. Carley, and, P. Pattison, (National Research Council, The National Academies Press, Washington, DC, 2003), pp. 39-97.
4. F. R. K. Chung, Spectral Graph Theory, CBMS Regional Conference Series in Mathematics No. 92 (American Mathematical Society, Providence, RI, 1997).
5. M. Rosvall and C. T. Bergstrom, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.0706851105 105, 1118 (2008). (Pubitemid 351397014)
6. S. Fortunato, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2009.11.002 486, 75 (2010).
7. S. H. Strogatz, Nature (London) NATUAS 0028-0836 10.1038/35065725 410, 268 (2001). (Pubitemid 32216604)
8. R. Pastor-Satorras and A. Vespignani, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.3200 86, 3200 (2001). (Pubitemid 32317894)
9. Y. Wang, D. Chakrabarti, C. Wang, and C. Faloutsos, Proceedings of 22nd International Symposium on Reliable Distributed Systems (IEEE, USA, 2003), pp. 25-34.
10. S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, and D. Hwang, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2005.10.009 424, 175 (2006). (Pubitemid 43135890)
11. D. Centola, Science SCIEAS 0036-8075 10.1126/science.1185231 329, 1194 (2010).
12. Y. Kuramoto, Chemical Oscillations, Waves, and Turbulence (Dover, Mineola, NY, 2003).
13. 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).
14. A. Arenas, A. Díaz-Guilera, and C. J. Pérez-Vicente, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.114102 96, 114102 (2006).
15. 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).
16. Y. Hu, M. Li, P. Zhang, Y. Fan, and Z. Di, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.78.016115 78, 016115 (2008).
17. S. Chauhan, M. Girvan, and E. Ott, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.056114 80, 056114 (2009).
18. R. Lambiotte, R. Sinatra, J. C. Delvenne, T. S. Evans, M. Barahona, and V. Latora, Phys. Rev. E 1539-3755 10.1103/PhysRevE.84.017102 84, 017102 (2011).
19. M. Jerrum and A. Sinclair, STOC '88 Proceedings of the 20th Annual ACM Symposium on Theory of Computing (ACM, New York, 1988), pp. 235-244.
20. L. Danon, A. Díaz-Guilera, J. Duch, and A. Arenas, J. Stat. Mech. 1742-5468 10.1088/1742-5468/2005/09/P09008 (2005) P09008.
21. W. W. Zachary, J. Anthropol. Res. 33, 452 (1977).
22. S. Borgatti, Soc. Networks 0378-8733 10.1016/j.socnet.2004.11.008 27, 55 (2005). (Pubitemid 40272649)
23. R. Ghosh, K. Lerman, T. Surachawala, K. Voevodski, and S.-H. Teng, arXiv: 1102.4639.