Helicoidal instability of a scroll vortex in three-dimensional reaction-diffusion systems

Preprint

6 September 1998

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.patt-sol/9809005

Abstract

We study the dynamics of scroll vortices in excitable reaction-diffusion systems analytically and numerically. We demonstrate that intrinsic three-dimensional instability of a straight scroll leads to the formation of helicoidal structures. This behavior originates from the competition between the scroll curvature and unstable core dynamics. We show that the obtained instability persists even beyond the meander core instability of two-dimensional spiral wave.

Keywords

HELICOIDAL INSTABILITY
DIMENSIONAL REACTION
REACTION DIFFUSION
DIFFUSION SYSTEMS
SCROLL VORTEX
INSTABILITY
COMPETITION

All Related Versions

Version 1, 1998-09-06, ArXiv
Published version: Physical Review E, 58 (4), 4556.

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