13 citations · 13 across the 2 of their papers we have counts for
3 papers
nlin.PS2024
Oscillatory Instabilities of a One-Spot Pattern in the Schnakenberg Reaction-Diffusion System in -D Domains
Siwen Deng, Justin Tzou, Shuangquan Xie
For an activator-inhibitor reaction-diffusion system in a bounded three-dimensional domain of volume and small activator diffusivity of , we employ a h…
math.DS2024
Localized patterns in the Gierer Meinhardt model on a cycle graph
Theodore Kolokolnikov, Juncheng Wei, Shuangquan Xie
In this study, we provide a detailed analysis of the spike solutions and their stability for theGierer-Meinhardt model on discrete lattices. We explore several phenomena that have…
cond-mat.quant-gas2017★ 13 cited
Vortex precession dynamics in general radially symmetric potential traps in two-dimensional atomic Bose-Einstein condensates
P. G. Kevrekidis, Wenlong Wang, R. Carretero-Gonzalez +2
We consider the motion of individual two-dimensional vortices in general radially symmetric potentials in Bose-Einstein condensates. We find that although in the special case of th…