Spiral-core meandering in excitable media
- 1 October 1992
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 46 (8) , 5264-5267
- https://doi.org/10.1103/physreva.46.5264
Abstract
The rotating spiral pattern seen in a variety of excitable systems is known to undergo a secondary instability referred to as tip meandering. In the limit of a small (but nonzero) diffusion-constant ratio for a two-component reaction-diffusion model of an excitable medium, we derive the existence of this instability; this requires solving the linear problem defined by expanding about the spiral-core steady-state solution found by Bernoff [Physica D 53, 125 (1991)]. We comment on how these results might lead to a full theory of core meandering.Keywords
This publication has 16 references indexed in Scilit:
- Scaling regime of spiral wave propagation in single-diffusive mediaPhysical Review Letters, 1992
- Spiral core in singly diffusive excitable mediaPhysical Review Letters, 1992
- Spiral wave solutions for reaction-diffusion equations in a fast reaction/slow diffusion limitPhysica D: Nonlinear Phenomena, 1991
- A SURVEY OF SPIRAL-WAVE BEHAVIORS IN THE OREGONATOR MODELInternational Journal of Bifurcation and Chaos, 1991
- Alternative stable rotors in an excitable mediumPhysica D: Nonlinear Phenomena, 1991
- Periodic to quasiperiodic transition of chemical spiral rotationPhysica D: Nonlinear Phenomena, 1991
- Meandering transition in two-dimensional excitable mediaPhysical Review Letters, 1990
- Spiral-wave dynamics in a simple model of excitable media: The transition from simple to compound rotationPhysical Review A, 1990
- Singular perturbation theory of traveling waves in excitable media (a review)Physica D: Nonlinear Phenomena, 1988
- Two-dimensional spectrophotometry of spiral wave propagation in the Belousov-Zhabotinskii reactionPhysica D: Nonlinear Phenomena, 1987