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

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

1998-09-05

arxiv.org/abs/patt-sol/9809005v1

Physical Review E, V. 58, No. 4, 4556-4559 (1998)

Nonlinear Sciences

Pattern Formation and Solitons

4 pages, 5 figures, revtex

Scientific paper

10.1103/PhysRevE.58.4556

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.

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