TY - JOUR
T1 - Explosive transitions to synchronization in weighted static scale-free networks
AU - Zhu, Liuhua
AU - Tian, Liang
AU - Shi, Daning
N1 - This work is supported by the Natural Science Foundation of Jiangsu Province for Youth (No. BK20130777), by the China Postdoctoral Science Foundation (No. 2013M540444), and by the Natural Science Foundation of China (No. 11374159). Supports from the Fundamental Research Funds for the Central Universities (No. NZ2012312), the Jiangsu Planned Projects for Postdoctoral Research Funds (No. 1202079C), and NSFC
(Nos. 11162019 and 11047003) are also acknowledged.
PY - 2013/11
Y1 - 2013/11
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84888310018&partnerID=8YFLogxK
U2 - 10.1140/epjb/e2013-40807-6
DO - 10.1140/epjb/e2013-40807-6
M3 - Journal article
AN - SCOPUS:84888310018
SN - 1434-6028
VL - 86
JO - European Physical Journal B
JF - European Physical Journal B
IS - 11
M1 - 451
ER -