54 citations · 239 across the 13 of their papers we have counts for
13 papers
Generic criterion for explosive synchronization in heterogeneous phase oscillator populations
Can Xu, Xuan Wang, Per Sebastian Skardal
Ordered and disordered behavior in large ensembles of coupled oscillators map to different functional states in a wide range of applications, e.g., active and resting states in the…
Tiered synchronization in coupled oscillator populations with interaction delays and higher-order interactions
Per Sebastian Skardal, Can Xu
We study synchronization in large populations of coupled phase oscillators with time-delays, higher order interactions. With each of these effects individually giving rise to bista…
Collective dynamics of heterogeneously and nonlinearly coupled phase oscillators
Can Xu, Xiaohuan Tang, Huaping Lü +4
Coupled oscillators have been used to study synchronization in a wide range of social, biological, and physical systems, including pedestrian-induced bridge resonances, coordinated…
Spectrum of extensive multiclusters in the Kuramoto model with higher-order interactions
Can Xu, Per Sebastian Skardal
Globally coupled ensembles of phase oscillators serve as useful tools for modeling synchronization and collective behavior in a variety of applications. As interest in the effects…
Universal scaling and phase transitions of coupled phase oscillator populations
Can Xu, Xuebin Wang, Per Sebastian Skardal
The Kuramoto model, which serves as a paradigm for investigating synchronization phenomenon of oscillatory system, is known to exhibit second-order, i.e., continuous, phase transit…
Bifurcation analysis and structural stability of simplicial oscillator populations
Can Xu, Xuebin Wang, Per Sebastian Skardal
We present an analytical description for the collective dynamics of oscillator ensembles with higher-order coupling encoded by simplicial structure, which serves as an illustrative…
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…