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arXiv · patt-sol/9909004

Diffusion-induced vortex filament instability in 3-dimensional excitable media

Zhilin Qu·Fagen Xie·Alan Garfinkel
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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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Zhilin Qu, Fagen Xie, Alan Garfinkel. 1999-09-03. Diffusion-induced vortex filament instability in 3-dimensional excitable media. https://doi.org/10.1103/physrevlett.83.2668

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