Efficient rewirings for enhancing synchronizability of dynamical networks

Chaos

Volumn 18, Issue 3, 2008, Pages

  Rad, Ali Ajdari ^a   Jalili, Mahdi ^a   Hasler, Martin ^a  

^a EPFL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 54749126648     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2967738     Document Type: Article

References (40)

1. A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Sciences (Cambridge University Press, Cambridge, 2003).
2. R. Brown and L. Kocarev, Chaos 10, 344 (2000).
3. V. N. Belykh, I. V. Belykh, and M. Hasler, Physica D 195, 159 (2004).
4. L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. 80, 2109 (1998).
5. M. Jalili, A. Ajdari Rad, and M. Hasler, Int. J. Circuit Theory Appl. 35, 611 (2007).
6. G. Korniss, M. A. Novotny, H. Guclu, Z. Toroczkai, and P. A. Rikvold, Science 299, 677 (2003).
7. S. Barbarossa and G. Scutari, IEEE Trans. Signal Process. 55, 3456 (2007).
8. M. E. J. Newman, SIAM Rev. 45, 167 (2003).
9. M. Newman, A.-L. Barabasi, and D. J. Watts, The Structure and Dynamics of Networks (Princeton University Press, Princeton, 2006).
10. S. Boccaletti, V. Latora, Y. Moreno, M. Chaves, and D. U. Hwang, Phys. Rep. 424, 175 (2006).
11. R. Albert and A.-L. Barabasi, Rev. Mod. Phys. 74, 47 (2002).
12. S. H. Strogatz, Nature (London) 410, 268 (2001).
13. D. J. Watts and S. H. Strogatz, Nature (London) 393, 440 (1998).
14. A.-L. Barabasi and R. Albert, Science 286, 5009 (1999).
15. G. V. Osipov, J. Kurths, and C. Zhou, Synchronization in Oscillatory Networks (Springer, Berlin, 2007).
16. L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. 64, 821 (1990).
17. S. Boccaletti, J. Kurts, G. Osipov, D. L. Valladares, and C. S. Zho, Phys. Rep. 366, 1 (2002).
18. R. Olfati-Saber, J. A. Fax, and R. M. Murray, Proc. IEEE 95, 215 (2007).
19. M. Chavez, D. U. Hwang, A. Amann, H. G. E. Hentschel, and S. Boccaletti, Phys. Rev. Lett. 94, 218701 (2005).
20. M. Jalili, A. Ajdari Rad, and M. Hasler, Phys. Rev. E 78, 016105 (2008).
21. A. E. Motter, C. S. Zhou, and J. Kurths, Europhys. Lett. 69, 334 (2005).
22. X. Wang, Y.-C. Lai, and C. H. Lai, Phys. Rev. E 75, 056205 (2007).
23. M. Jalili, A. Ajdari Rad, and M. Hasler, in IEEE International Symposium on Circuits and Systems., Seattle, Washington, 2008, p. 2522.
24. L. Donetti, P. I. Hurtado, and M. A. Munoz, Phys. Rev. Lett. 95, 188701 (2005).
25. L. Donetti, F. Neri, and M. A. Munoz, J. Stat. Mech.: Theory Exp. 8, P08007 (2006).
26. A. E. Motter, C. Zhou, and J. Kurths, Phys. Rev. E 71, 016116 (2005).
27. T. Nishikawa, A. E. Motter, Y. C. Lai, and F. C. Hoppensteadt, Phys. Rev. Lett. 91, 014101 (2003).
28. H. Hong, M. Y. Choi, and B. J. Kim, Phys. Rev. E 65, 026139 (2002).
29. X. F. Wang and G. Chen, IEEE Trans. Circuits Syst., I: Fundam. Theory Appl. 49, 54 (2002).
30. X. F. Wang and G. Chen, Int. J. Bifurcation Chaos Appl. Sci. Eng. 12, 187 (2002).
31. M. Barahona and L. M. Pecora, Phys. Rev. Lett. 89, 054101 (2002).
32. H. Hong, B. J. Kim, M. Y. Choi, and H. Park, Phys. Rev. E 69, 067105 (2004).
33. L. Donetti, P. I. Hurtado, and M. A. Munoz, J. Phys. A: Math. Theor. 41, 224008 (2008).
34. B. Wang, H. Tang, C. Guo, Z. Xiu, and T. Zhou, Physica A 368, 607 (2006).
35. S. Fallat and S. Kirkland, Electron. J. Linear Algebra 3, 48 (1998).
36. A. Ghosh and S. Boyd, in IEEE Conference on Decision and Control., 2006, p. 6605.
37. W. N. Anderson and T. D. Morley, Linear Multilinear Algebra 18, 141 (1985).
38. J. W. Demmel, Applied Numerical Linear Algebra (SIAM, New York, 1997).
39. U. Brandes, J. Math. Sociol. 25, 163 (2001).
40. G. Davidoff, P. Sarnak, and A. Valette, Elementary Number Theory, Group Theory and Ramanujan Graphs (Cambridge University Press, Cambridge, 2003).