Network evolution induced by the dynamical rules of two populations

Journal of Statistical Mechanics: Theory and Experiment

Volumn 2010, Issue 10, 2010, Pages

  Platini, Thierry ^a   Zia, R K P ^a  

^a VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

Author keywords

Dynamical processes (theory); Network dynamics; Stochastic processes (theory)

Indexed keywords

EID: 78650409671     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2010/10/P10018     Document Type: Article

References (55)

1. Steven H Strogatz, 2001 Nature 410 268
2. Réka A and Barabási A L, 2002 Rev. Mod. Phys. 74 47
3. Dorogovtsev S and Mendes J F F, 2002 Adv. Phys. 51 1079
4. Newman M E J, 2003 SIAM Rev. 45 167
5. Boccaletti S et al, 2006 Phys. Rep. 424 175
6. Costa L D F et al, 2007 Adv. Phys. 56 167
7. Hubermann B et al, 1998 Science 280 95
8. Kleinberg J M, 2000 Nature 406 845
9. Adamic L A, 2001 Phys. Rev. E 64 046135
10. Bilke S and Perterson C, 2001 Phys. Rev. E 64 036106
11. Burda Z et al, 2001 Phys. Rev. E 64 046118
12. Noh J D and Rieger H, Phys. Rev. Lett. 92 118701
13. Wah Wu C, 2007 Synchronization in Complex Networks of Nonlinear Dynamical Systems (London: World Scientific)
14. Arenas A et al, 2008 Phys. Rep. 469 93
15. Coleman J et al, 1957 Sociometry 20 253
16. Valente T, 1995 Network Models of the Diffusion of Innovations (Cresskill, NJ: Hampton)
17. Kauffman S A, 1993 The Origins of Order (New York: Oxford University)
18. Keeling M J, 1999 Proc. R. Soc. B 266 859
19. Solomonoff R and Rapoport A, 1951 Bull. Math. Biophys. 13 107
20. Rapoport A, 1957 Bull. Math. Biophys. 19 257
21. Weigt M and Hartmann A K, 2001 Phys. Rev. Lett. 86 1658
22. Moukarzel C, 1999 Phys. Rev. E 60 R6263
23. Newman M E J and Watts D J, 1999 Phys. Lett. A 263 341
24. Newman M E J and Watts D J, 1999 Phys. Rev. E 60 7332
25. Moore C and Newman M E J, 2000 Phys. Rev. E 61 5678
26. Moore C and Newman M E J, 2000 Phys. Rev. E 62 7059
27. Newman M E J et al, 2000 Phys. Rev. Lett. 84 3201
28. Kuperman M and Abramson G, 2001 Phys. Rev. Lett. 86 2909
29. Johansen A and Sornette D, 2000 Physica A 276 338
30. Tadić B, 2001 Eur. Phys. J. B 23 221
31. Blatt M et al, 1996 Phys. Rev. Lett. 76 3251
32. Zhou H, 2003 Phys. Rev. E 67 061901
33. Reichardt J and Bornholdt S, 2004 Phys. Rev. Lett. 93 218701
34. Newman M E J, 2004 Phys. Rev. E 69 066133
35. Newman M E J, 2004 Eur. Phys. J. B 38 321
36. Palla G et al, 2005 Nature 435 814
37. Derényi I et al, 2005 Phys. Rev. Lett. 94 160202
38. Ravasz E et al, 2002 Science 297 1551
39. Vicsek T, 2002 Nature 418 131
40. Guimerá R et al, 2003 Phys. Rev. E 68 065103
41. Watts D J et al, 2002 Science 296 1302
42. Pastor-Satorras R and Vespignani A, 2001 Phys. Rev. Lett. 86 3200
43. Pastor-Satorras R and Vespignani A, 2001 Phys. Rev. E 63 066117
44. Halloran M E et al, 2008 Proc. Nat. Acad. Sci. 105 4639
45. Noh J D et al, 2005 Phys. Rev. E 71 036131
46. Boguna M et al, 2004 Phys. Rev. E 70 056122
47. Amaral L A N et al, 2000 Proc. Nat. Acad. Sci. 97 11149
48. Liu W J, Schmittmann B and Zia R K P, 2010 at press
49. Keeling M J and Eames K T D, 2005 J. R. Soc. Interface 2 295
50. Gross T et al, 2006 Phys. Rev. Lett. 96 208701
51. Shaw L B and Schwartz I B, 2008 Phys. Rev. E 77 066101
52. Schwartz I B and Shaw L B, 2010 Physics 3 17
53. Platini T, 2010 at press
54. Alonso D et al, 2007 J. R. Soc. Interface 4 575
55. Simes M et al, 2008 J. R. Soc. Interface 5 555