Activity patterns on random scale-free networks: Global dynamics arising from local majority rules

Journal of Statistical Mechanics: Theory and Experiment

Volumn , Issue 1, 2007, Pages

  Zhou, Haijun ^a   Lipowsky, Reinhard ^b  

^a INSTITUTE OF THEORETICAL PHYSICS   (China)

^b MAX PLANCK INSTITUTE OF COLLOIDS AND INTERFACES   (Germany)

Author keywords

Network dynamics; Networks; Neuronal networks (theory); Pattern formation (theory); Random graphs

Indexed keywords

EID: 42749103079     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2007/01/P01009     Document Type: Article

References (35)

1. Albert R and Barabsi A-L 2002 Rev. Mod. Phys. 74 47
2. Dorogovtsev S N and Mendes J F F 2002 Adv. Phys. 51 1079
3. Newman M E J 2003 SIAM Rev. 45 167
4. Barabsi A-L and Albert R 1999 Science 286 509
5. Valverde S, Ferrer Cancho R and Solé R V 2002 Europhys. Lett. 60 512
6. Ferrer i Cancho R and Solé R V 2003 Statistical Mechanics of Complex Networks (Lecture Notes in Physics vol 625) ed R Pastor-Satorras, M Rubi and A Diaz-Guilera (Berlin: Springer) chapter 6 pp114-26
7. Variano E A, McCoy J H and Lipson H 2004 Phys. Rev. Lett. 92 188701
8. Wang W-X, Wang B-H, Hu B, Yan G and Ou Q 2005 Phys. Rev. Lett. 94 188702
9. Zhou H and Lipowsky R 2005 Proc. Nat. Acad. Sci. 102 10052
10. Aldana M and Cluzel P 2003 Proc. Nat. Acad. Sci. 100 8710
11. Catanzaro M, Bogũ M and Pastor-Satorras R 2005 Phys. Rev. E 71 027103
12. Castellano C and Pastor-Satorras R 2006 Zero temperature Glauber dynamics on complex networks J. Stat. Mech. P05001 [cond-mat/0602315]
13. Cohen R, Erez K, ben-Avraham D and Havlin S 2000 Phys. Rev. Lett. 85 4626
14. Milo R, Kashtan N, Itzkovitz S, Newman M E J and Alon U 2003 On the uniform generation of random graphs with prescribed degree sequences Preprint cond-mat/0312028
15. Zhou H 2002 Phys. Rev. E 66 016125
16. Glauber R J 1963 J. Math. Phys. 4 294
17. Bar-Yam Y and Epstein I R 2004 Proc. Nat. Acad. Sci. 101 4341
18. Maslov S and Sneppen K 2002 Science 296 910
19. Maslov S, Sneppen K and Zaliznyak A 2002 Physica A 333 529
20. Bogũ M, Pastor-Satorras R and Vespignani A 2004 Eur. Phys. J. B 38 205
21. Krapivsky P L and Redner S 2003 Phys. Rev. Lett. 90 238701
22. Aldana M and Larralde H 2004 Phys. Rev. E 70 066130
23. Sood V and Redner S 2005 Phys. Rev. Lett. 94 178701
24. Zhu C-P, Xiong S-J, Tian Y-J, Li N and Jiang K-S 2004 Phys. Rev. Lett. 92 218702
25. Newman M E J 2005 Contemp. Phys. 46 323
26. Svenson P 2001 Phys. Rev. E 64 036122
27. Häggström O 2002 Physica A 310 275
28. Spirin V, Krapivsky P L and Redner S 2001 Phys. Rev. E 65 016119
29. Mélin R, Anglès d'Auriac J C, Chandra P and Doucot B 1996 J. Phys. A: Math. Gen. 29 5773
30. Hopfield J J 1982 Proc. Nat. Acad. Sci. 79 2554
31. Chialvo D R 2004 Physica A 340 756
32. Eguiluz V M, Chialvo D R, Cecchi G A, Baliki M and Apkarian A V 2005 Phys. Rev. Lett. 94 018102
33. Kauffman S A 1969 J. Theor. Biol. 22 437
34. Derrida B and Pomeau Y 1986 Europhys. Lett. 1 45
35. Abramowitz M and Stegun I A 1972 Handbook of Mathematical Functions (New York: Dover)