Analytical calculation of fragmentation transitions in adaptive networks

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

Volumn 83, Issue 3, 2011, Pages

  Böhme, Gesa A ^a   Gross, Thilo ^a  

^a MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE NETWORKS; ANALYTICAL APPROACH; ANALYTICAL CALCULATION; NUMERICAL RESULTS; TRANSITION POINT; VOTER MODELS;

MATHEMATICAL MODELS;

EID: 79961095227     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.83.035101     Document Type: Article

References (28)

1. R. Albert and A. Barabási, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.74.47 74, 47 (2002).
2. S. N. Dorogovtsev, A. V. Goltsev, and J. F. F. Mendes, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.80.1275 80, 1275 (2008).
3. M. E. J. Newman, SIAM Rev. SIREAD 0036-1445 10.1137/S003614450342480 45, 167 (2003).
4. S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, and D. U. Hwang, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2005.10.009 424, 175 (2006). (Pubitemid 43135890)
5. T. Gross and H. Sayama, Adaptive Networks (Springer, Heidelberg, 2009).
6. T. Gross and B. Blasius, J. R. Soc., Interface PRPLCM 1742-5689 10.1098/rsif.2007.1229 5, 259 (2008).
7. See [http://adaptive-networks.wikidot.com].
8. S. Bornholdt and T. Rohlf, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.6114 84, 6114 (2000).
9. J. Ito and K. Kaneko, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.028701 88, 028701 (2001).
10. M. G. Zimmermann, V. M. Eguíluz, and M. San Miguel, Phys. Rev. E PRLTAO 1539-3755 10.1103/PhysRevE.69.065102 69, 065102 (2004).
11. M. G. Zimmermann, V. M. Eguíluz, M. San Miguel, and A. Spadaro, Applications of Simulations in Social Sciences (Hermes Science Publications, Paris, 2000).
12. T. Gross, C. J. Dommar D'Lima, and B. Blasius, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.208701 96, 208701 (2006). (Pubitemid 43788422)
13. F. Vazquez and V. M. Eguíluz, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/10/6/063011 10, 063011 (2008).
14. P. Holme and M. E. J. Newman, Phys. Rev. E NJOPFM 1539-3755 10.1103/PhysRevE.74.056108 74, 56108 (2006). (Pubitemid 44746115)
15. B. Kozma and A. Barrat, Phys. Rev. E NJOPFM 1539-3755 10.1103/PhysRevE.77.016102 77, 016102 (2008). (Pubitemid 351388526)
16. D. H. Zanette and S. Gil, Phys. D (Amsterdam) PDNPDT 0167-2789 10.1016/j.physd.2006.09.010 224, 156 (2006). (Pubitemid 44751208)
17. D. Kimura and Y. Hayakawa, Phys. Rev. E PDNPDT 1539-3755 10.1103/PhysRevE.78.016103 78, 016103 (2008).
18. L. B. Shaw and I. B. Schwartz, Phys. Rev. E PDNPDT 1539-3755 10.1103/PhysRevE.81.046120 81, 046120 (2010).
19. G. Zschaler, A. Traulsen, and T. Gross, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/12/9/093015 12, 093015 (2010).
20. S. Risau-Gusman and D. H. Zanette, J. Theor. Biol. JTBIAP 0022-5193 10.1016/j.jtbi.2008.10.027 257, 52 (2009).
21. V. Marceau, P.-A. Noël, L. Hébert-Dufresne, A. Allard, and L. J. Dubé, Phys. Rev. E JTBIAP 1539-3755 10.1103/PhysRevE.82.036116 82, 036116 (2010).
22. F. Vazquez, V. M. Eguíluz, and M. San Miguel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.108702 100, 108702 (2008). (Pubitemid 351399161)
23. G. Demirel, F. Vazquez, and T. Gross (unpublished).
24. R. A. Holley and T. M. Liggett, Ann. Probab. APBYAE 0091-1798 10.1214/aop/1176996306 3, 643 (1975).
25. C. Nardini, B. Kozma, and A. Barrat, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.158701 100, 158701 (2008). (Pubitemid 351570759)
26. F. Vazquez, J. C. González-Avella, V. M. Eguíluz, and M. San Miguel, Phys. Rev. E PRLTAO 1539-3755 10.1103/PhysRevE.76.046120 76, 46120 (2007). (Pubitemid 350023309)
27. T. Gross and U. Feudel, Phys. D (Amsterdam) PDNPDT 0167-2789 10.1016/j.physd.2004.03.019 195, 292 (2004).
28. M. E. J. Newman, S. H. Strogatz, and D. J. Watts, Phys. Rev. E PDNPDT 1539-3755 10.1103/PhysRevE.64.026118 64, 026118 (2001).