Euclidean symmetry and the dynamics of rotating spiral waves
- 3 January 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 72 (1) , 164-167
- https://doi.org/10.1103/physrevlett.72.164
Abstract
It is shown that the dynamics of spiral waves in excitable media are organized around a codimension-two point where a Hopf bifurcation from rotating waves interacts with Euclidean symmetry. A simple ordinary-differential-equation model of this bifurcation generates dynamics like the ‘‘meandering’’ of spiral waves.Keywords
This publication has 11 references indexed in Scilit:
- Complexity in spiral wave dynamicsa)Chaos: An Interdisciplinary Journal of Nonlinear Science, 1993
- Symmetry-breaking bifurcations in one-dimensional excitable mediaPhysical Review A, 1992
- Spiral-core meandering in excitable mediaPhysical Review A, 1992
- Linear stability analysis of rotating spiral waves in excitable mediaPhysical Review Letters, 1992
- Varieties of spiral wave behavior: An experimentalist’s approach to the theory of excitable mediaChaos: An Interdisciplinary Journal of Nonlinear Science, 1991
- Meandering transition in two-dimensional excitable mediaPhysical Review Letters, 1990
- Spiral wave dynamics as a function of proton concentration in the ferroin-catalyzed Belousov-Zhabotinskii reactionThe Journal of Physical Chemistry, 1990
- Spiral-wave dynamics in a simple model of excitable media: The transition from simple to compound rotationPhysical Review A, 1990
- Chemical vortex dynamics in the Belousov-Zhabotinskii reaction and in the two-variable oregonator modelThe Journal of Physical Chemistry, 1989
- Scroll-Shaped Waves of Chemical Activity in Three DimensionsScience, 1973