HELICOIDAL INSTABILITY OF A SCROLL VORTEX IN 3-DIMENSIONAL REACTION-DIFFUSION SYSTEMS

Authors
ARANSON I MITKOV I
Citation
I. Aranson et I. Mitkov, HELICOIDAL INSTABILITY OF A SCROLL VORTEX IN 3-DIMENSIONAL REACTION-DIFFUSION SYSTEMS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(4), 1998, pp. 4556-4559
Citations number
23
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
58
Issue
4
Year of publication
1998
Pages
4556 - 4559
Database
ISI
SICI code
1063-651X(1998)58:4<4556:HIOASV>2.0.ZU;2-R
Abstract
We study the dynamics of scroll vortices in excitable reaction-diffusi on systems analytically and numerically. We demonstrate that intrinsic three-dimensional instability of a straight scroll leads to the forma tion of helicoidal structures. This behavior originates from the compe tition between the scroll curvature and unstable core dynamics. We sho w that the obtained instability persists even beyond the meander core instability of the two-dimensional spiral wave. [S1063-651X(98)06310-7 ].