Two-dimensional hydrodynamic simulation for synchronization in coupled density oscillators
Pattern Formation and Solitons
2023-03-27 v2 Chaotic Dynamics
Abstract
A density oscillator is a fluid system in which oscillatory flow occurs between different density fluids through the pore connecting them. We investigate the synchronization in coupled density oscillators using two-dimensional hydrodynamic simulation and analyze the stability of the synchronous state based on the phase reduction theory. Our results show that the anti-phase, three-phase, and 2-2 partial-in-phase synchronization modes spontaneously appear as stable states in two, three, and four coupled oscillators, respectively. The phase dynamics of coupled density oscillators is interpreted with their sufficiently large first Fourier components of the phase coupling function.
Cite
@article{arxiv.2210.09762,
title = {Two-dimensional hydrodynamic simulation for synchronization in coupled density oscillators},
author = {Nana Takeda and Hiroaki Ito and Hiroyuki Kitahata},
journal= {arXiv preprint arXiv:2210.09762},
year = {2023}
}
Comments
12 pages, 9 figures