Maximum performance at minimum cost in network synchronization

Physica D: Nonlinear Phenomena

Volumn 224, Issue 1-2, 2006, Pages 77-89

  Nishikawa, Takashi ^a   Motter, Adilson E ^b  

^a SOUTHERN METHODIST UNIVERSITY   (United States)

^b NORTHWESTERN UNIVERSITY   (United States)

Author keywords

Complex networks; Optimization; Synchronization

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; HIERARCHICAL SYSTEMS; OPTIMAL CONTROL SYSTEMS; OPTIMIZATION; OSCILLATORS (ELECTRONIC); PROBLEM SOLVING; TELECOMMUNICATION NETWORKS; TOPOLOGY;

COMPLEX NETWORKS; LAPLACIAN EIGENVALUES; SPANNING TREES; TOPOLOGICAL CONSTRAINTS;

SYNCHRONIZATION;

EID: 33750995849     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2006.09.007     Document Type: Article

References (52)

1. Zhou C.S., Motter A.E., and Kurths J. Phys. Rev. Lett. 96 (2006) 034101
2. Li C., Chen L., and Aihara K. Phys. Biol. 3 (2006) 37
3. Stilwell D.J., Bollt E.M., and Roberson D.G. SIAM J. Appl. Dyn. Syst. 5 (2006) 140
4. Arenas A., Díaz-Guilera A., and Pérez-Vicente C.J. Phys. Rev. Lett. 96 (2006) 114102
5. Wiley D.A., Strogatz S.H., and Girvan M. Chaos 16 (2006) 015103
6. Park S.M., and Kim B.J. Phys. Rev. E 74 (2006) 026114
7. Boccaletti S., Hwang D.-U., Chavez M., Amann A., Kurths J., and Pecora L.M. Phys. Rev. E 74 (2006) 016102
8. Hasegawa H. Phys. Rev. E 72 (2005) 056139
9. Donetti L., Hurtado P.I., and Muñoz M.A. Phys. Rev. Lett. 95 (2005) 188701
10. Morelli L.G., Cerdeira H., and Zanette D.H. Eur. Phys. J. B 43 (2005) 243
11. Restrepo J.G., Ott E., and Hunt B.R. Phys. Rev. E 71 (2005) 036151
12. Oh E., Rho K., Hong H., and Kahng B. Phys. Rev. E 72 (2005) 047101
13. Grinstein G., and Linsker R. Proc. Natl. Acad. Sci. 102 (2005) 9948
14. Wu C.W. Nonlinearity 18 (2005) 1057
15. Masoller C., and Martí A.C. Phys. Rev. Lett. 94 (2005) 134102
16. Jalan S., Amritkar R.E., and Hu C.-K. Phys. Rev. E 72 (2005) 016211
17. Lind P.G., Gallas J.A.C., and Herrmann H.J. Phys. Rev. E 70 (2004) 056207
18. Atay F.M., Jost J., and Wende A. Phys. Rev. Lett. 92 (2004) 144101
19. Belykh V.N., Belykh I.V., and Hasler M. Physica D 195 (2004) 159
20. Timme M., Wolf F., and Geisel T. Phys. Rev. Lett. 92 (2004) 074101
21. Wang B., Tang H., Zhou T., and Xiu Z. cond-mat/0512079
22. Donetti L., Hurtado P.I., and Muñoz M.A. cond-mat/0602351
23. Barahona M., and Pecora L.M. Phys. Rev. Lett. 89 (2002) 054101
24. Nishikawa T., Motter A.E., Lai Y.-C., and Hoppensteadt F.C. Phys. Rev. Lett. 91 (2003) 014101
25. McGraw P.N., and Menzinger M. Phys. Rev. E 72 (2005) 015101R
26. Kocarev L., and Amato P. Chaos 15 (2005) 024101
27. Motter A.E., Zhou C.S., and Kurths J. Europhys. Lett. 69 (2005) 334
28. Motter A.E., Zhou C.S., and Kurths J. Phys. Rev. E 71 (2005) 016116
29. Motter A.E., Zhou C.S., and Kurths J. AIP Conf. Proc. 776 (2005) 201
30. Winfree A.T. The Geometry of Biological Time (2001), Springer-Verlag, New York
31. Rodriguez E., George N., Lachaux J.-P., Martinerie J., Renault B., and Varela F.J. Nature 397 (1999) 430
32. Stopfer M., Bhagavan S., Smith B.H., and Laurent G. Nature 390 (1997) 70
33. Hwang D.-U., Chavez M., Amann A., and Boccaletti S. Phys. Rev. Lett. 94 (2005) 138701
34. Nishikawa T., and Motter A.E. Phys. Rev. E 73 (2006) 065106
35. Fischer E., and Sauer U. Nat. Genet. 37 (2005) 636
36. Korniss C., Novotny M.A., Guclu H., Toroczkai Z., and Rikvold P.A. Science 299 (2003) 677
37. Pecora L.M., and Carroll T.L. Phys. Rev. Lett. 80 (1998) 2109
38. Lu W., and Chen T. Physica D 213 (2006) 214
39. Lu W., and Chen T. Physica D 198 (2004) 148
40. Lu W., and Chen T. IEEE Trans. Circuits Syst. I 51 (2004) 2491
41. Fink K.S., Johnson G., Carroll T., Mar D., and Pecora L. Phys. Rev. E 61 (2000) 5080
42. Heagy J.F., Pecora L.M., and Carroll T.L. Phys. Rev. Lett. 74 (1995) 4185
43. Wu C.W. Linear Algebra Appl. 402 (2005) 207
44. S. Boccaletti, private communication
45. Braess D. Unternehmensforschung 12 (1968) 258
46. Irvine A.D. Int. Stud. Philos. Sci. 7 (1993) 145
47. Toroczkai Z., and Bassler K.E. Nature 428 (2004) 716
48. Durand M. cond-mat/0608208
49. Yook S.-H., and Meyer-Ortmanns H. cond-mat/0507422
50. Zheng Z., Hu G., and Hu B. Phys. Rev. E 62 (2000) 7501
51. Jing J., and Weiss K.R. Curr. Biol. 15 (2005) 1712
52. Quiroga R.Q., Reddy L., Kreiman G., Koch C., and Fried I. Nature 435 (2005) 1102