Abstract.
In this paper, inspired by the idea that different nodes should play different roles in network synchronization, we bring forward a coupling method where the coupling strength of each node depends on its neighbors' degrees. Compared with the uniform coupled method and the recently proposed Motter-Zhou-Kurths method, the synchronizability of scale-free networks can be remarkably enhanced by using the present coupling method, and the highest network synchronizability is achieved at β=1 which is similar to a method introduced in [AIP Conf. Proc. 776, 201 (2005)].
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References
R. Albert, A.-L. Barabási, Rev. Mod. Phys. 74, 47 (2002)
S.N. Dorogovtsev, J.F.F. Mendes, Adv. Phys. 51, 1079 (2002)
M.E.J. Newman, SIAM Rev. 45, 167 (2003)
S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, D.-U. Hwang, Phys. Rep. 424, 175 (2006)
D.J. Watts, S.H. Strogatz, Nature 393, 440 (1998)
A.-L. Barabási, R. Albert, Science 286, 509 (1999)
L.F. Lago-Fernández, R. Huerta, F. Corbacho, J.A. Sigüenza, Phys. Rev. Lett. 84, 2758 (2000)
P.M. Gade, C.-K. Hu, Phys. Rev. E 62, 6409 (2000)
H. Hong, M.Y. Choi, B.J. Kim, Phys. Rev. E 65, 026139 (2002)
T. Zhou, M. Zhao, B.-H. Wang, Phys. Rev. E 73, 037101 (2006)
T. Nishikawa, A.E. Motter, Y.-C. Lai, F.C. Hoppensteadt, Phys. Rev. Lett. 91, 014101 (2003)
L. Donetti, P.I. Hurtado, M.A. Muñoz, Phys. Rev. Lett. 95, 188701 (2005)
M. Zhao, T. Zhou, B.-H. Wang, G. Yan, H.-J. Yang, W.-J. Bai, Physica A 371, 773 (2006)
B. Wang, H.-W. Tang, T. Zhou, Z.-L. Xu, e-print arXiv: cond-mat/0512079
A.E. Motter, C. Zhou, J. Kurths, Phys. Rev E 71, 016116 (2005)
A.E. Motter, C. Zhou, J. Kurths, AIP Conf. Proc. 776, 201 (2005)
A.E. Motter, C. Zhou, J. Kurths, Europhys. Lett. 69, 334 (2005)
M. Zhao, T. Zhou, B.-H. Wang, W.-X. Wang, Phys. Rev. E 72, 057102 (2005)
M. Chavez, D.-U. Hwang, A. Amann, H.G.E. Hentschel, S. Boccaletti, Phys. Rev. Lett. 94, 218701 (2005)
M. Chavez, D.-U. Hwang, A. Amann, S. Boccaletti, Chaos 16, 015106 (2006)
X. Li, Y.Y. Jin, G. Chen, Physica A 328, 287 (2003)
T. Nishikawa, A.E. Motter, Phys. Rev. E 73, 065106 (2006)
L.M. Pecora, T.L. Carrol, Phys. Rev. Lett. 80, 2109 (1998)
M. Barahona, L.M. Pecora, Phys. Rev. Lett. 89, 054101 (2002)
X.F. Wang, G. Chen, Int. J. Bifurcation Chaos Appl. Sci. Eng. 12, 187 (2002)
X.F. Wang, G. Chen, IEEE Trans. Circuits and Systems I 49, 54 (2002)
P.N. McGraw, M. Menzinger, Phys. Rev. E 72, 015101(R) (2005)
In this extreme case, only the directed edges containing nonzero coupling signals are effective edges, and can do contribution to the synchronizing process
M. di Bernardo, F. Garofalo, F. Sorrentino, Int. J. Bifurca. & Chaos (accepted), e-print arXiv: cond-mat/0506236
S.N. Dorogovtsev, J.F.F. Mendes, A.N. Samukhin, Phys. Rev. Lett. 85, 4633 (2000)
P.L. Krapivsky, S. Redner, Phys. Rev. E 63, 066123 (2001)
M.E.J. Newman, Phys. Rev. Lett. 89, 208701 (2002)
M.E.J. Newman, Phys. Rev. E 67, 026126 (2003)
G. Yan, T. Zhou, B. Hu, Z.-Q. Fu, B.-H. Wang, Phys. Rev. E 73, 046108 (2006)
C.-Y. Yin, B.-H. Wang, W.-X. Wang, T. Zhou, H.-J. Yang, Phys. Lett. A 351, 220 (2006)
W.-X. Wang, B.-H. Wang, C.-Y. Yin, Y.-B. Xie, T. Zhou, Phys. Rev. E 73, 026111 (2006)
B.-H. Wang, T. Zhou, e-print arXiv: physics/0609031
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Zhao, M., Zhou, T., Wang, BH. et al. Better synchronizability predicted by a new coupling method. Eur. Phys. J. B 53, 375–379 (2006). https://doi.org/10.1140/epjb/e2006-00383-6
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DOI: https://doi.org/10.1140/epjb/e2006-00383-6