Weighted networks are more synchronizable: How and why

AIP Conference Proceedings

Volumn 776, Issue , 2005, Pages 201-214

  Motter, Adilson E ^a   Zhou, Changsong ^b   Kurths, Jürgen ^b  

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

^b UNIVERSITY OF POTSDAM   (Germany)

Author keywords

Complex networks; Coupled oscillators; Synchronization

Indexed keywords

EID: 33645659374     PISSN: 0094243X     EISSN: 15517616     Source Type: Conference Proceeding    
DOI: 10.1063/1.1985389     Document Type: Conference Paper

References (62)

1. S. H. Strogatz, Nature (London) 410, 268 (2001);
2. R. Albert and A.-L. Barabási, Rev. Mod. Phys. 74, 47 (2002);
3. S. N. Dorogovtsev and J. F. F. Mendes, Adv. Phys. 51, 1079 (2002);
4. M. E. J. Newman, SIAM Rev. 45, 167 (2003).
5. D. J. Watts, Small Worlds (Princeton University Press, Princeton, 1999).
6. L. F. Lago-Fernández, R. Huerta, F. Corbacho, and J. A. Sigüenza, Phys. Rev. Lett. 84, 2758 (2000);
7. P. M. Gade and C. K. Hu, Phys. Rev. E 62, 6409 (2000);
8. L. G. Morelli and D. H. Zanette, Phys. Rev. E 63, 036204 (2001);
9. K. Sun and Q. Ouyang, Phys. Rev. E 64, 026111 (2001);
10. J. Jost and M. P. Joy, Phys. Rev. E 65, 016201 (2002);
11. X. F. Wang, Int. J. Bifurcation Chaos Appl. Sci. Eng. 12, 885 (2002);
12. H. Hong, M. Y. Choi, and B. J. Kim, Phys. Rev. E 65, 026139 (2002);
13. O. Kwon and H. T. Moon, Phys. Lett. A 298, 319 (2002);
14. M. Timme, F. Wolf, and T. Geisel, Phys. Rev. Lett. 89, 258701 (2002);
15. G. W. Wei, M. Zhan, and C. H. Lai, Phys. Rev. Lett. 89, 284103 (2002);
16. F. Oi, Z. Hou, and H. Xin, Phys. Rev. Lett. 91, 064102 (2003);
17. J. Ito and K. Kaneko, Phys. Rev. E 67, 046226 (2003);
18. A. M. Batista, S. E. D. Pinto, R. L. Viana, and S. R. Lopes, Physica A 322, 118 (2003);
19. F. M. Atay, J. Jost, and A. Wende, Phys. Rev. Lett. 92, 144101 (2004);
20. Y. Moreno and A. F. Pacheco, Europhys. Lett. 68, 603 (2004).
21. P. G. Lind, J. A. C. Gallas, and H. J. Hermann, Phys. Rev. E 70, 056207 (2004).
22. X. Guardiola, A. Diaz-Guilera, M. Lias, and C. J. Perez, Phys. Rev. E 62, 5565 (2000).
23. M. Barahona and L. M. Pecora, Phys. Rev. Lett. 89, 054101 (2002).
24. T. Nishikawa, A. E. Motter, Y.-C. Lai, and F. C. Hoppensteadt, Phys. Rev. Lett. 91, 014101 (2003).
25. C. W. Wu, e-print nlin.CD/0307052.
26. M. Denker, M. Timme, M. Diesmann, F. Wolf, and T. Geisel, Phys. Rev. Lett. 92, 074103 (2004).
27. J. G. Restrepo, E. Ott, and B. R. Hunt, Phys. Rev. E 69, 066215 (2004).
28. D. J. Watts and S. H. Strogatz, Nature (London) 393, 440 (1998).
29. A.-L. Barabási and R. Albert, Science 286, 509 (1999).
30. A different behavior has been observed in networks of pulse oscillators [5].
31. F. Chung and L. Lu, Proc. Natl. Acad. Sci. U.S.A. 99, 15879 (2002);
32. B. Bollobás and O. Riordan, in Handbook of Graphs and Networks, edited by S. Bornholdt and H. G. Schuster (Wiley-VCH, Berlin, 2002);
33. R. Cohen and S. Havlin, Phys. Rev. Lett. 90, 058701 (2003);
34. S. N. Dorogovtsev, J. F. F. Mendes, and A. N. Samukhin, Nucl. Phys. B 653, 307 (2003).
35. A. Barrat, M. Barthélemy, R. Pastor-Satorras, and A. Vespignani, Proc. Natl. Acad. Sci. U.S.A. 101, 3747 (2004).
36. P. J. Macdonald, E. Almaas, A.-L. Barabási, e-print cond-mat/0405688.
37. S. H. Yook, H. Jeong, A.-L. Barabási, and Y. Tu, Phys. Rev. Lett. 86, 5835 (2001).
38. M. E. J. Newman, Phys. Rev. E 64, 016132 (2001);
39. H. J. Kim, I. M. Kim, Y. Lee, and B. Kahng, J. Korean Phys. Soc. 40, 1105 (2002);
40. V. Latora and M. Marchiori, Eur. Phys. Journ. B 32, 249 (2003);
41. C. Aguirre, R. Huerta, F. Corbacho, and P. Pascual, Lecture Notes in Computer Science, Vol. 2415 (2002), p. 27;
42. L. A. Braunstein, S. V. Buldyrev, R. Cohen, S. Havlin, and H. E. Stanley, Phys. Rev. Lett. 91, 168701 (2003);
43. C. Li and G. Chen, e-print cond-mat/0311333; G. Caldarelli, F. Coccetti, and P. De Los Rios, e-print cond-mat/0312236.
44. D. J. Felleman and D. C. Van Essen, Cerebral Cortex 1, 1 (1991);
45. J. W. Scannell, G. A. P. C. Burns, C. C. Hilgetag, M. A. O'eil, and M. P. Yong. Cerebral Cortex 9, 277 (1999).
46. B. T. Grenfell, O. N. Bjornstad, and J. Kappey, Nature (London) 414, 716 (2001).
47. A. E. Motter, C. S. Zhou, and J. Kurths, Europhys. Lett. 69, 334 (2005).
48. A. E. Motter, C. S. Zhou, and J. Kurths, Phys. Rev. E 71, 016116 (2005).
49. F. R. K. Chung, Spectral Graph Theory (AMS, Providence, 1994).
50. M. Faloutsos, P. Faloutsos, and C. Faloutsos, Comput. Commun. Rev. 29, 251 (1999);
51. R. Monasson, Eur. Phys. J. B, 12 555 (1999);
52. I. J. Farkas, I. Derényi, A.-L. Barabási, and T. Vicsek, Phys. Rev. E 64, 026704 (2001);
53. K. I. Goh, B. Kahng, and D. Kim, Phys. Rev. E 64, 051903 (2001);
54. Z. Burda, J. D. Correia, and A. Krzywicki, Phys. Rev. E 64, 046118 (2001);
55. M. Mihail, C. Gkantsidis, and E. Zegura, Spectral analysis of Internet topologies, in Proc. Infocom. IEEE (2003).
56. F. Chung, L. Lu, and V. Vu, Proc. Natl. Acad. Sci. U.S.A. 100, 6313 (2003).
57. S. N. Dorogovtsev, A. V. Goltsev, J. F. F. Mendes, and A. N. Samukhin, Phys. Rev. E 68, 046109 (2003).
58. L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. 80, 2109 (1998);
59. K. S. Fink, G. Johnson, T. Carroll, D. Mar, and L. Pecora, Phys. Rev. E 61, 5080 (2000).
60. M. E. J. Newman, S. H. Strogatz, and D. J. Watts, Phys. Rev. E 64, 026118 (2001).
61. A. S. Pikovsky, M. G. Rosenblum, and J. Kurths, Synchronization: A universal concept in nonlinear sciences (University Press, Cambridge, 2001).
62. M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, Phys. Rev. Lett. 76, 1804 (1996).