Blinking model and synchronization in small-world networks with a time-varying coupling

Physica D: Nonlinear Phenomena

Volumn 195, Issue 1-2, 2004, Pages 188-206

  Belykh, Igor V ^a   Belykh, Vladimir N ^b   Hasler, Martin ^a  

^a EPFL   (Switzerland)

^b Volga State Academy   (Russian Federation)

Author keywords

Averaging; Blinking model; Small world networks; Stability; Synchronization

Indexed keywords

CHAOS THEORY; COMBINATORIAL MATHEMATICS; COMPUTER SIMULATION; GRAPH THEORY; MATHEMATICAL MODELS; STATISTICAL METHODS; SYNCHRONIZATION;

BLINKING MODELS; SMALL-WORLD NETWORKS; TIME-VARYING COUPLING;

TIME VARYING NETWORKS;

EID: 3042776965     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2004.03.013     Document Type: Article

References (35)

1. Milgram S., Psychol. Today. 2:1961;60.
2. Watts D.J., Strogatz S.H., Nature. 393:1998;440.
3. Strogatz S.H., Nature. 410:2001;268.
4. Barthélémy M., Amaral L.A.N., Phys. Rev. Lett. 82:1999;3180.
5. Monasson R., Eur. Phys. J. B. 12:1999;555.
6. Newman M.E.J., J. Stat. Phys. 101:2000;819.
7. Newman M.E.J., Moore C., Watts D.J., Phys. Rev. Lett. 84:2000;3201.
8. Newman M.E.J., Strogatz S.H., Watts D.J., Phys. Rev. E. 64:2001;026118.
9. Barabási A.-L., Albert R., Science. 286:1999;509.
10. Eckmann J.-P., Moses E., Proc. Natl. Acad. Sci. U.S.A. 99:2002;5825.
11. Amaral L.A.N., Scala A., Barthélémy M., Stanley H.E., Proc. Natl. Acad. Sci. U.S.A. 97:2000;149.
12. Newman M.E.J., Proc. Natl. Acad. Sci. U.S.A. 98:2001;404.
13. Newman M.E.J., Phys. Rev. E. 64:2001;016131.
14. Kuperman M., Abramson G., Phys. Rev. Lett. 86:2001;2909.
15. Miramontes O., Luque B., Physica D. 168:2002;379.
16. Zanette D., Phys. Rev. E. 65:2002;041908.
17. D.J. Watts, Small Worlds, Princeton University Press, Princeton, 1999.
18. Cancho R.F.I., Janssen C., Solé R.V., Phys. Rev. E. 64:2001;046119.
19. Jeong H., Tombor B., Albert R., Oltvai Z.N., Barabási A.-L., Albert R., Nature (London). 407:2000;651.
20. Lago-Fernández L.F., Huerta R., Corbacho F., Sigüenza J.A., Phys. Rev. Lett. 84:2000;2758.
21. Gade P.M., Hu C.K., Phys. Rev. E. 62:2000;6409.
22. Jost J., Joy M.P., Phys. Rev. E. 65:2001;016201.
23. Wang X., Chen G., Int. J. Bifurcat. Chaos. 12:2002;187.
24. Wang X., Int. J. Bifurcat. Chaos. 12:2002;885.
25. Barahona M., Pecora L.M., Phys. Rev. Lett. 89:2002;054101.
26. V. Belykh, I. Belykh, M. Hasler, Physica D, this issue.
27. Pecora L.M., Carroll T.L., Phys. Rev. Lett. 80:1998;2109 Pecora L.M., Phys. Rev. E. 58:1998;347 Fink K., Johnson G., Carroll T., Mar D., Pecora L., Phys. Rev. E. 61:2000;5080.
28. Pecora L.M., Carroll T.L., Phys. Rev. Lett. 80:1998;2109 Pecora L.M., Phys. Rev. E. 58:1998;347 Fink K., Johnson G., Carroll T., Mar D., Pecora L., Phys. Rev. E. 61:2000;5080.
29. Pecora L.M., Carroll T.L., Phys. Rev. Lett. 80:1998;2109 Pecora L.M., Phys. Rev. E. 58:1998;347 Fink K., Johnson G., Carroll T., Mar D., Pecora L., Phys. Rev. E. 61:2000;5080.
30. Mills D.L., IEEE Trans. Commun. 39:1991;1482.
31. Mills D.L., ACM Comput. Commun. Rev. 24:1994;16.
32. D.-G. Holmes, T.A. Lipo, Pulse Width Modulation for Power Converters: Principles and Practice, Wiley-IEEE Press, 2003.
33. N.N. Bogoliubov, Yu.A. Mitropolsky, Asymptotic Methods in the Theory of Nonlinear Oscillations, Gordon and Breach, New York, 1961.
34. Chernoff H., Ann. Math. Statist. 23:1952;493-507.
35. Hagerup T., Rub C., Inf. Proc. Lett. 33:1990;305.