Abstract.
Synchronization in networks of complex topologies using couplings of time-varying strength is numerically investigated. The time-dependencies of coupling strengths are coupled to the dynamics of the nodes in a way to enhance synchronization. By time-varying couplings, oscillators are found to take quite a short time to reach synchronization state when the couplings are relatively strong. Even when a nearly regular networks of large-size with few shortcuts is difficult to be synchronized by fixed couplings, the time-varying couplings can easily enhance the emergence of synchronization.
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References
P.L. Krapivsky, S. Redner, F. Leyvraz, Phys. Rev. Lett. 85, 4629 (2000)
G. Bianconi, A.-L. Barab\(\acute{\textrm{a}}\)si, Phys. Rev. Lett. 86, 5632 (2001)
S. L\(\ddot{\textrm{u}}\)beck, P.C. Heger, Phys. Rev. E 68, 056102 (2003)
D.H. Zanette, Phys. Rev. E 65, 041908 (2002)
X.F. Wang, J. Xu, Phys. Rev. E 70, 056113 (2004)
M. Dhamala, V.K. Jirsa, M. Ding, Phys. Rev. Lett. 92, 074104 (2004)
D.J. Watts, S.H. Srogatz, Nature 393, 440 (1998)
A.L. Barab\(\acute{\textrm{a}}\)si, R. Albert, Science 286, 509 (1999)
K.I. Goh, B. Kahng, D. Kim, Phys. Rev. Lett. 87, 278701 (2001)
R. Albert, A.-L. Barab\(\acute{\textrm{a}}\)si, Rev. Mod. Phys. 74, 47 (2002)
S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, D.-U. Hwang, Phys. Rep. 424, 175 (2006)
L. Kocarev, P. Amato, Chaos 15, 024101 (2005)
X.F. Wang, G. Chen, Int. J. Bifur. Chaos 12, 187 (2002)
I.V. Belykh, V.N. Belykh, M. Hasler, Physica D 195, 159 (2004)
H. Hong, B.J. Kim, M.Y. Choi, H. Park, Phys. Rev. E 69, 067105 (2004)
L.M. Pecora, T.L. Carroll, Phys. Rev. Lett. 80, 2109 (1998)
M. Barahona, L.M. Pecora, Phys. Rev. Lett. 89, 054101 (2002)
K.S. Fink, G. Johnson, T. Carroll, D. Mar, L. Pecora, Phys. Rev. E 61, 5080 (2000)
C. Zhou, A.E. Motter, J. Kurths, Phys. Rev. Lett. 96, 034101 (2006)
Y.-C. Lai, M.G. Frei, I. Osorio, L. Huang, Phys. Rev. Lett. 98, 108102 (2007)
Y.-C. Lai, M.G. Frei, I. Osorio, Phys. Rev. E 73, 026214 (2006)
D. Huang, Phys. Rev. E 74, 046208 (2006)
T. Nishikawa, A.E. Motter, Phys. Rev. E 73, 065106 (2006)
S. Boccaletti, D.-U. Hwang, M. Chavez, A. Amann, J. Kurths, L.M. Pecora, Phys. Rev. E 74, 016102 (2006)
D. Huang, Phys. Rev. Lett. 93, 214101 (2004)
D. Huang, Phys. Rev. E 69, 067201 (2004)
D. Huang, Phys. Rev. E 71, 037203 (2005)
M.E.J. Newman, D.J. Watts, Phys. Lett. A 263, 341 (1999)
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Chen, L., Wu, L. & Zhu, S. Synchronization in complex networks by time-varying couplings. Eur. Phys. J. D 48, 405–409 (2008). https://doi.org/10.1140/epjd/e2008-00113-4
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DOI: https://doi.org/10.1140/epjd/e2008-00113-4