dorsal/arxiv
View SchemaDiffusion-induced vortex filament instability in 3-dimensional excitable media
| Authors | Zhilin Qu, Fagen Xie, Alan Garfinkel |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9909004 |
| URL | https://arxiv.org/abs/patt-sol/9909004 |
| DOI | 10.1103/PhysRevLett.83.2668 |
Abstract
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.
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"abstract": "We studied the stability of linear vortex filaments in 3-dimensional (3D)\nexcitable media, using both analytical and numerical methods. We found an\nintrinsic 3D instability of vortex filaments that is diffusion-induced, and is\ndue to the slower diffusion of the inhibitor. This instability can result\neither in a single helical filament or in chaotic scroll breakup, depending on\nthe specific kinetic model. When the 2-dimensional dynamics were in the chaotic\nregime, filament instability occurred via on-off intermittency, a failure of\nchaos synchronization in the third dimension.",
"arxiv_id": "patt-sol/9909004",
"authors": [
"Zhilin Qu",
"Fagen Xie",
"Alan Garfinkel"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1103/PhysRevLett.83.2668",
"title": "Diffusion-induced vortex filament instability in 3-dimensional excitable media",
"url": "https://arxiv.org/abs/patt-sol/9909004"
},
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