30 citations · 87 across the 12 of their papers we have counts for
12 papers
Inferring synchronizability of networked heterogenous oscillators with machine learning
Liang Wang, Huawei Fan, Yafeng Wang +4
In the study of network synchronization, an outstanding question of both theoretical and practical significance is how to allocate a given set of heterogenous oscillators on a comp…
Synchronization of coupled second-order Kuramoto-Sakaguchi oscillators
Jian Gao, Konstantinos Efstathiou
We study the synchronization of oscillators with inertias and phase shifts, namely the second-order Kuramoto-Sakaguchi model. Using the self-consistent method, we find that the eff…
Oscillatory states, standing waves, and additional synchronized clusters in networks of second-order oscillators: uncovering the role of inertia
Jian Gao, Konstantinos Efstathiou
We discuss the appearance of oscillatory and standing wave states in second-order oscillator networks showing that it is a special case of a more general mechanism involving second…
Reduction of oscillator dynamics on complex networks to dynamics on complete graphs through virtual frequencies
Jian Gao, Konstantinos Efstathiou
We consider the synchronization of oscillators in complex networks where there is an interplay between the oscillator dynamics and the network topology. Through a remarkable transf…
Self-consistent Method and Steady States of Second-order Oscillators
Jian Gao, Konstantinos Efstathiou
The self-consistent method, first introduced by Kuramoto, is a powerful tool for the analysis of the steady states of coupled oscillator networks. For second-order oscillator netwo…
Order parameter analysis of synchronization transitions on star networks
Hongbin Chen, Yuting Sun, Jian Gao +2
Collective behaviors of populations of coupled oscillators have attracted much attention in recent years. In this paper, an order parameter approach is proposed to study the low-di…
Dynamics of phase oscillators in the Kuramoto model with generalized frequency-weighted coupling
Can Xu, Jian Gao, Hairong Xiang +3
We generalize the Kuramoto model for the synchronization transition of globally coupled phase oscillators to populations by incorporating an additional heterogeneity with the coupl…
Collective dynamics of identical phase oscillators with high-order coupling
Can Xu, Hairong Xiang, Jian Gao +1
In this paper, we propose a framework to investigate the collective dynamics in ensembles of globally coupled phase oscillators when higher-order modes dominate the coupling. The s…
Synchronization of phase oscillators with frequency-weighted coupling
Can Xu, Yuting Sun, Jian Gao +3
Recently, the first-order synchronization transition has been studied in systems of coupled phase oscillators. In this paper, we propose a framework to investigate the synchronizat…
Order parameter analysis for low-dimensional behaviors of coupled phase-oscillators
Jian Gao, Can Xu, Yuting Sun +1
Coupled phase-oscillators are important models related to synchronization. Recently, Ott-Antonsen(OA) ansatz is developed and used to get low-dimensional collective behaviors in co…
Ensemble order parameter equations in star network
YuTing Sun, Jian Gao, Can Xu +2
The OA ansatz has attracted much attention recently, infinite-dimensional Kuramoto model could collapses to a two-dimensional system of order differential equations with it. In thi…
Explosive or Continuous: Incoherent state determines the route to synchronization
Can Xu, Jian Gao, Yuting Sun +2
Collective behaviors of coupled oscillators have attracted much attention. In this Letter, we propose an ensemble order parameter(EOP) equation that enables us to grasp the essenti…