Synchronization of frustrated phase oscillators in the small-world networks
Adaptation and Self-Organizing Systems
2022-05-19 v1
Abstract
We numerically study the synchronization of an identical population of Kuramoto-Sakaguchi phase oscillators in Watts-Strogatz networks. We find that, unlike random networks, phase-shift could enhance the synchronization in small-world networks. We also observe abrupt phase transition with hysteresis at some values of phase shifts in small-world networks, signs of an explosive phase transition. Moreover, we report the emergence of Chimera states at some values of phase-shift close to the transition points, which consist of spatially coexisting synchronized and desynchronized domains.
Keywords
Cite
@article{arxiv.2205.08849,
title = {Synchronization of frustrated phase oscillators in the small-world networks},
author = {Esmaeil Mahdavi and Mina Zarei and Farhad Shahbazi},
journal= {arXiv preprint arXiv:2205.08849},
year = {2022}
}