Helicoidal instability of a scroll vortex in three-dimensional reaction-diffusion systems
- 1 October 1998
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 58 (4) , 4556-4559
- https://doi.org/10.1103/physreve.58.4556
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 the two-dimensional spiral wave.Keywords
All Related Versions
This publication has 35 references indexed in Scilit:
- Spiral Wave Meander in Excitable Media: The Large Core LimitPhysical Review Letters, 1997
- Control of spatial orientation and lifetime of scroll rings in excitable mediaNature, 1997
- Meandering instability of a spiral interface in the free boundary limitPhysical Review E, 1996
- Destabilization of Three-Dimensional Rotating Chemical Waves in an Inhomogeneous BZ ReactionThe Journal of Physical Chemistry, 1996
- Interaction of spiral waves with external fields in excitable mediaPhysical Review E, 1995
- Controlling spatiotemporal chaosPhysical Review Letters, 1994
- Core instability and spatiotemporal intermittency of spiral waves in oscillatory mediaPhysical Review Letters, 1994
- Euclidean symmetry and the dynamics of rotating spiral wavesPhysical Review Letters, 1994
- Linear stability analysis of rotating spiral waves in excitable mediaPhysical Review Letters, 1992
- Chemical WavesScience, 1988