Effects of the frequency-degree correlation on local synchronization in complex networks

详细信息    查看全文

• 作者：Shijin Jiang ; Wenyi Fang ; Shaoting Tang ; Sen Pei…
• 关键词：Explosive synchronization ; Kuramoto model
• 刊名：Journal of the Korean Physical Society
• 出版年：2015
• 出版时间：July 2015
• 年：2015
• 卷：67
• 期：2
• 页码：389-394
• 全文大小：985 KB
• 参考文献：[1]A. T. Winfree, The Geometry of Biological Time (Springer-Verlag, New York, 1999).
  [2]A. Pikovsky, M. Rosenblum and J. Kurthst, Synchronization: A Universal Concept in Nonlinear Science (Cambridge University Press, Cambridge, England, 2001).View Article
  [3]S. H. Strogatz, Sync: The Emerging Science of Spontaneous Order (Hyperion, New York, 2003).
  [4]D. J. Watts and S. H. Strogatz, Nature 393, 440 (1998).ADS View Article
  [5]S. H. Strogatz, Nature 410, 268 (2001).ADS View Article
  [6]R. Albert and A-L. Barabàsi, Rev. Mod. Phys. 74, 47 (2002).ADS View Article
  [7]M. E. J. Newman, SIAM Rev. 45, 2003 (167).MathSciNet ADS View Article
  [8]A. Arenas, A. Díaz-Guilera, J. Kurths, Y. Moreno and C. Zhou, Phys. Rep. 469, 93 (2008).MathSciNet ADS View Article
  [9]Y. Moreno and A. F. Pacheco, Europhys. Lett. 68, 603 (2004).ADS View Article
  [10]C. Zhou, A. E. Motter and J. Kurth, Phys. Rev. Lett. 96, 034101 (2006).ADS View Article
  [11]Y. Kuramoto, Lect. Notes Phys. 39, 420 (1975).MathSciNet ADS View Article
  [12]Y. Kuramoto, Chemical Oscillations, Waves, and Turbulence (Springer-Verlag, New York, 1984).View Article
  [13]J. Gómez-Garde?es, S. Gómez, A. Arenas and Y. Moreno, Phys. Rev. Lett. 106, 128701 (2011).ADS View Article
  [14]I. Leyva, A. Navas, I. Sendin?a-Nadal, J. A. Almendra, J. M. Buldú and M. Zanin, Sci. Rep. 3, 1281 (2013).ADS View Article
  [15]I. Leyva et al., Phys. Rev. Lett. 108, 168702 (2012).ADS View Article
  [16]T. K. Dal-Maso and F. A. Rodrigues, Phys. Rev. E 86, 016102 (2012).View Article
  [17]P. S. Skardal, J. Sun, D. Taylor and J. G. Restrepo, Europhys. Lett. 101, 20001 (2013).ADS View Article
  [18]W. Liu, Y. Wu, J. Xiao and M. Zhan, Europhy. Lett. 101, 38002 (2013).ADS View Article
  [19]J. Gómez-Garde?es, Y. Moreno and A. Arenas, Phys. Rev. Lett. 98, 034101 (2007).ADS View Article
  [20]J. Gómez-Garde?es, Y. Moreno and A. Arenas, Phys. Rev. E 75, 066106 (2007).MathSciNet ADS View Article
  [21]J. Stout, M. Whiteway, E. Ott, M. Girvan and T. M. Antonsen, Chaos 21, 025109 (2011).MathSciNet ADS View Article
  [22]J. Gómez-Garde?es and Y. Moreno, Phys. Rev. E 73, 056124 (2006).ADS View Article
  
• 作者单位：Shijin Jiang (1)
  Wenyi Fang (1)
  Shaoting Tang (2)
  Sen Pei (2)
  Shu Yan (2)
  Zhiming Zheng (2)
  
  1. School of Mathematical Sciences, Peking University, Beijing, China
  2. Laboratory of Mathematics, Information and Behavior, School of Mathematics and Systems Science, Beihang University, Beijing, China
  
• 刊物主题：Physics, general; Theoretical, Mathematical and Computational Physics; Particle and Nuclear Physics;
• 出版者：Springer Netherlands
• ISSN：1976-8524

文摘

We investigate the effects of the frequency-degree correlation on local synchronization in complex networks with Kuramoto oscillators. We find that a discontinuous synchronization transition occurs in the local patterns for heterogenous networks while for homogenous networks, the local synchronization transition remains continuous. Then, we extend our study to a general frequency-degree correlation case and conclude that the positive correlation does not change the local synchronization patterns while in the case of a negative correlation, the local synchronization transition degenerates to second order. Moreover, the correlation parameter α is verified to have a strong influence on the synchronization level. In particular, smaller |α| results in higher synchronization ability and faster speed to a synchronized state. Our study provides a deeper understanding of the effects of the frequency-degree correlation on network synchronization.