5 papers
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…
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…