5 papers
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…
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…