Optimization of synchronization in gradient clustered networks

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

Volumn 76, Issue 5, 2007, Pages

  Wang, Xingang ^a   Huang, Liang ^b   Lai, Ying Cheng ^b   Lai, Choy Heng ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b Arizona State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; NUMERICAL ANALYSIS; OPTIMIZATION; SYNCHRONIZATION;

BIOPHYSICAL SYSTEMS; COUPLED-OSCILLATOR NETWORKS; GRADIENT CLUSTERED NETWORKS; GRADIENT FIELD;

RADIAL BASIS FUNCTION NETWORKS;

EID: 36249020413     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.76.056113     Document Type: Article

References (35)

1. B. P. Kelley, R. Sharan, R. M. Karp, T. Sittler, D. E. Root, B. R. Stockwell, and T. Ideker, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.1534710100 100, 11394 (2003);
2. T. Ideker, Adv. Exp. Med. Biol. AEMBAP 0065-2598 547, 21 (2004);
3. Y. Xia, H. Yu, R. Jansen, M. Seringhaus, S. Baxter, D. Greenbaum, H. Zhao, and M. Gerstein, Annu. Rev. Biochem. ARBOAW 0066-4154 10.1146/annurev. biochem.73.011303.073950 73, 1051 (2004);
4. M. Lappe, and L. Holm, Nat. Biotechnol. NABIF9 1087-0156 10.1038/nbt921 22, 98 (2004);
5. A.-L. Barabási and Z. N. Oltvai, Nat. Rev. Genet. NRGAAM 1471-0056 10.1038/nrg1272 5, 101 (2004).
6. Y. Ho, A. Gruhler, A. Heilbut, G. D. Bader, and L. Moore, Nature (London) NATUAS 0028-0836 10.1038/415180a 415, 180 (2002).
7. V. Spirin and L. A. Mirny, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.2032324100 100, 12123 (2003).
8. E. Ravasz, A. L. Somera, D. A. Mongru, Z. Oltvai, and A.-L. Barabási, Science SCIEAS 0036-8075 10.1126/science.1073374 297, 1551 (2002).
9. S. Strogatz, Sync: The Emerging Science of Spontaneous Order (Hyperion, New York, 2003).
10. X. F. Wang and G. Chen, Int. J. Bifurcation Chaos Appl. Sci. Eng. IJBEE4 0218-1274 10.1142/S0218127402004292 12, 187 (2002);
11. M. Barahona and L. M. Pecora, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.054101 89, 054101 (2002);
12. T. Nishikawa, A. E. Motter, Y.-C. Lai, and F. C. Hoppensteadt, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.014101 91, 014101 (2003);
13. A. E. Motter, C. S. Zhou, and J. Kurths, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2004-10365-4 69, 334 (2005);
14. D.-U. Hwang, M. Chavez, A. Amann, and S. Boccaletti, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.138701 94, 138701 (2005);
15. C. Zhou and J. Kurths, Chaos CHAOEH 1054-1500 10.1063/1.2150381 16, 015104 (2006).
16. R. Milo, S. Shen-Orr, S. Itzkovitz, N. Kashtan, D. Chklovskii, and U. Alon, Science SCIEAS 0036-8075 10.1126/science.298.5594.824 298, 824 (2002).
17. A. Vázquez, R. Pastor-Satorras, and A. Vespignani, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.066130 65, 066130 (2002).
18. K. A. Eriksen, I. Simonsen, S. Maslov, and K. Sneppen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.148701 90, 148701 (2003).
19. K. Park, Y.-C. Lai, S. Gupte, and J.-W. Kim, Chaos CHAOEH 1054-1500 10.1063/1.2154881 16, 015105 (2006);
20. L. Huang, K. Park, Y.-C. Lai, L. Yang, and K. Yang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.164101 97, 164101 (2006).
21. A. Arenas, A. Díaz-Guilera, and C. J. Pérez-Vicente, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.114102 96, 114102 (2006);
22. S. Boccaletti, M. Ivanchenko, V. Latora, A. Pluchino, and A. Rapisarda, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.75.045102 75, 045102 (R) (2007).
23. Z. Toroczkai and K. E. Bassler, Nature (London) NATUAS 0028-0836 10.1038/428716a 428, 716 (2004).
24. K. Park, Y.-C. Lai, L. Zhao, and N. Ye, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.065105 71, 065105 (R) (2005).
25. T. Nishikawa and A. E. Motter, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.065106 73, 065106 (R) (2006);
26. T. Nishikawa and A. E. Motter, Physica D PDNPDT 0167-2789 10.1016/j.physd.2006.09.007 224, 77 (2006).
27. X. G. Wang, Y.-C. Lai, and C.-H. Lai, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.75.056205 75, 056205 (2007).
28. M. B. Barahona and L. M. Pecora, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.054101 89, 054101 (2002).
29. G. Hu, J. Yang, and W. Liu, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.4440 58, 4440 (1998).
30. J. Jost and M. P. Joy, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65. 016201 65, 016201 (2001).
31. J. W. Scannell, Cereb. Cortex ZZZZZZ 1047-3211 9, 277 (1999).
32. C. C. Hilgetag, Philos. Trans. R. Soc. London, Ser. B PTRBAE 0962-8436 10.1098/rstb.2000.0551 355, 91 (2000);
33. O. Sporns and J. D. Zwi, Neuroinformatics NEURKS 1539-2791 10.1385/NI:2:2:145 2, 145 (2004);
34. C. C. Hilgetag and M. Kaiser, Neuroinformatics NEURKS 1539-2791 10.1385/NI:2:3:353 2, 353 (2004);
35. and C. Zhou, L. Zemanova, G. Zamora, C. C. Hilgetag, and J. Kurths, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.238103 97, 238103 (2006).