Explosive transitions to synchronization in weighted static scale-free networks

详细信息    查看全文

• 作者：Liuhua Zhu (1)
  Liang Tian (1)
  Daning Shi (1)
  
• 关键词：Statistical and Nonlinear Physics
• 刊名：The European Physical Journal B - Condensed Matter
• 出版年：2013
• 出版时间：November 2013
• 年：2013
• 卷：86
• 期：11
• 全文大小：
• 作者单位：Liuhua Zhu (1)
  Liang Tian (1)
  Daning Shi (1)
  
  1. College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, P.R. China
  
• ISSN：1434-6036

文摘

The emergence of explosive synchronization transitions in networks of phase oscillators has become recently one of the most interesting topics. We simulate the Kuramoto model on top of a family of weighted static scale-free networks. It is found that when the strength of the network’s edge is linearly correlated with frequency gap of pair of oscillators at its ends, i.e., the microscopic correlation exponent β is equal to 1, the model with the degree distribution exponent γ > 3 undergoes a first-order phase transition, while the transition becomes second order at 2 < γ ≤ 3. We also find that in homogeneous networks (γ → ∞) the explosive synchronization is replaced by a continuous phase transition when the microscopic correlation exponent β is changed from positive to negative. This is a new discovery of explosive synchronization transitions in weighted complex networks, which provides a fresh angle and tool to understand this explosive behavior.