Diffusion-induced vortex filament instability in 3-dimensional excitable media
patt-sol
2009-10-31 v2 斑图形成与孤子
摘要
We studied the stability of linear vortex filaments in 3-dimensional (3D) excitable media, using both analytical and numerical methods. We found an intrinsic 3D instability of vortex filaments that is diffusion-induced, and is due to the slower diffusion of the inhibitor. This instability can result either in a single helical filament or in chaotic scroll breakup, depending on the specific kinetic model. When the 2-dimensional dynamics were in the chaotic regime, filament instability occurred via on-off intermittency, a failure of chaos synchronization in the third dimension.
引用
@article{arxiv.patt-sol/9909004,
title = {Diffusion-induced vortex filament instability in 3-dimensional excitable media},
author = {Zhilin Qu and Fagen Xie and Alan Garfinkel},
journal= {arXiv preprint arXiv:patt-sol/9909004},
year = {2009}
}
备注
5 pages, 5 figures, to appear in PRL (September, 1999)