Optimal synchronization of complex networks

Physical Review Letters

Volumn 113, Issue 14, 2014, Pages

  Skardal, Per Sebastian ^a,b   Taylor, Dane ^b,c,d   Sun, Jie ^e  

^a UNIVERSITAT ROVIRA I VIRGILI   (Spain)

^b UNIVERSITY OF COLORADO   (United States)

^c Statistical and Applied Mathematical Sciences Institute USA   (United States)

^d The University of North Carolina at Chapel Hill   (United States)

^e CLARKSON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALIGNMENT; FREQUENCY ALLOCATION; SYNCHRONIZATION;

HETEROGENEOUS PHASE; IN NETWORKS; LAPLACIAN EIGENVECTORS; NETWORK DESIGN; NETWORK STRUCTURES; OPTIMAL SYNCHRONIZATION;

COMPLEX NETWORKS;

EID: 84908032132     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.113.144101     Document Type: Article

References (34)

1. S.H. Strogatz, Sync: The Emerging Science of Spontaneous Order (Hypernion, New York 2003).
2. A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Sciences (Cambridge University Press, Cambridge, England, 2003).
3. S.N. Dorogovtsev, A.V. Goltsev, and J.F.F. Mendes, Rev. Mod. Phys. 80, 1275 (2008). RMPHAT 0034-6861 10.1103/RevModPhys.80.1275
4. A. Arenas, A. Díaz-Guilera, J. Kurths, Y. Moreno, and C. Zhou, Phys. Rep. 469, 93 (2008). PRPLCM 0370-1573 10.1016/j.physrep.2008.09.002
5. J. Buck, Q. Rev. Biol. 63, 265 (1988). QRBIAK 0033-5770 10.1086/415929
6. L. Glass and M.C. Mackey, From Clocks to Chaos: The Rhythms of Life (Princeton University Press, Princeton, NJ, 1988).
7. A.E. Motter, S.A. Myers, M. Anghel, and T. Nishikawa, Nat. Phys. 9, 191 (2013). NPAHAX 1745-2473 10.1038/nphys2535
8. S.H. Strogatz, D.M. Abrams, A. McRobie, B. Eckhardt, and E. Ott, Nature (London) 438, 43 (2005). NATUAS 0028-0836 10.1038/438043a
9. A. Prindle, P. Samayoa, I. Razinkov, T. Danino, L.S. Tsimring, and J. Hasty, Nature (London) 481, 39 (2012). NATUAS 0028-0836 10.1038/nature10722
10. Y. Kuramoto, Chemical Oscillations, Waves, and Turbulence (Springer, New York, 1984).
11. H. Sakaguchi and Y. Kuramoto, Prog. Theor. Phys. 76, 576 (1986). PTPKAV 0033-068X 10.1143/PTP.76.576
12. Y. Moreno and A.F. Pacheco, Europhys. Lett. 68, 603 (2004). EULEEJ 0295-5075 10.1209/epl/i2004-10238-x
13. T. Ichinomiya, Phys. Rev. E 70, 026116 (2004). PLEEE8 1539-3755 10.1103/PhysRevE.70.026116
14. J.G. Restrepo, E. Ott, and B.R. Hunt, Phys. Rev. E 71, 036151 (2005). PLEEE8 1539-3755 10.1103/PhysRevE.71.036151
15. A. Arenas, A. Díaz-Guilera, and C.J. Peréz-Vicente, Phys. Rev. Lett. 96, 114102 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.114102
16. J. Gómez-Gardeñes, Y. Moreno, and A. Arenas, Phys. Rev. Lett. 98, 034101 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.034101
17. J. Gómez-Gardeñes, S. Gómez, A. Arenas, and Y. Moreno, Phys. Rev. Lett. 106, 128701 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.128701
18. P.S. Skardal and J.G. Restrepo, Phys. Rev. E 85, 016208 (2012). PLEEE8 1539-3755 10.1103/PhysRevE.85.016208
19. P.S. Skardal and J.G. Restrepo, Proceedings of the 2012 International Symposium on Nonlinear Theory and its Applications, October 22-26, 2012, Palma, Mallorca, Spain.
20. P.S. Skardal, J. Sun, D. Taylor, and J.G. Restrepo, Europhys. Lett. 101, 20001 (2013). EULEEJ 0295-5075 10.1209/0295-5075/101/20001
21. F. Dörfler, M. Chertkov, and F. Bullo, Proc. Natl. Acad. Sci. U.S.A. 110, 2005 (2013). PNASA6 0027-8424 10.1073/pnas.1212134110
22. A. Ben-Israel and T.N.E. Grenville, Generalized Inverses (Springer, New York, 1974).
23. M. Molloy.and B. Reed, Random Structure and Algorithms 6, 161 (1995). 1042-9832 10.1002/rsa.3240060204
24. C. Zhan, G. Chen, and L.F. Yeung, Physica (Amsterdam) 389A, 1779 (2010). PHYADX 0378-4371 10.1016/j.physa.2009.12.005
25. P. Erdos and A. Rényi, Publ. Math. Inst. Hung. Acad. Sci. 5, 17 (1960).
26. M. Brede, Phys. Lett. A 372, 2618 (2008). PYLAAG 0375-9601 10.1016/j.physleta.2007.11.069
27. L. Buzna, S. Lozano, and A. Díaz-Guilera, Phys. Rev. E 80, 066120 (2009). PLEEE8 1539-3755 10.1103/PhysRevE.80.066120
28. M. Rosenblum and A. Pikovsky, Phys. Rev. Lett. 98, 064101 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.064101
29. A.T. Winfree, J. Theor. Biol. 16, 15 (1967). JTBIAP 0022-5193 10.1016/0022-5193(67)90051-3
30. L.M. Pecora and T.L. Carroll, Phys. Rev. Lett. 80, 2109 (1998). PRLTAO 0031-9007 10.1103/PhysRevLett.80.2109
31. M. Barahona and L.M. Pecora, Phys. Rev. Lett. 89, 054101 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.89.054101
32. T. Nishikawa and A.E. Motter, Proc. Natl. Acad. Sci. U.S.A. 107, 10342 (2010). PNASA6 0027-8424 10.1073/pnas.0912444107
33. J. Sun, E.M. Bollt, and T. Nishikawa, Europhys. Lett. 85, 60011 (2009). EULEEJ 0295-5075 10.1209/0295-5075/85/60011
34. B. Ravoori, A.B. Cohen, J. Sun, A.E. Motter, T.E. Murphy, and R. Roy, Phys. Rev. Lett. 107, 034102 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.034102