title: Self-organized correlations lead to explosive synchronization.
abstract: Very recently, a first-order phase transition, named explosive synchronization (ES), has attracted great attention due to its remarkable novelty in theory and significant impact in applications. However, so far, all observations of ES have been associated with various correlation constraints on system parameters, which restrict its generality and applications. Here we consider heterogeneous networks around Hopf bifurcation point described by chemical reaction-diffusion systems and also by their reduced order parameter versions, the complex Ginzburg-Landau equations, and demonstrate that explosive synchronization can appear as an emergent feature of oscillatory networks, and the restrictions on specific parameter correlations used so far for ES can be lifted entirely. Theoretical analyses and numerical simulations show with a perfect agreement that explosive synchronization can appear in networks with nodes having identical natural frequencies, and necessary correlation conditions for ES can be realized in a self-organized manner by network evolution.
authors.affiliation: School of Sciences, Beijing University of Posts and Telecommunications, Beijing 100876, China.
authors.forename: Yang
authors.initials: Y
authors.lastname: Chen
authors.affiliation: Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China.
authors.forename: Zhoujian
authors.initials: Z
authors.lastname: Cao
authors.affiliation: School of Sciences, Beijing University of Posts and Telecommunications, Beijing 100876, China.
authors.forename: Shihong
authors.initials: S
authors.lastname: Wang
authors.affiliation: Department of Physics, Beijing Normal University, Beijing 100875, China.
authors.forename: Gang
authors.initials: G
authors.lastname: Hu