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.
| Original language | English |
|---|---|
| Pages (from-to) | 5264-5267 |
| Number of pages | 4 |
| Journal | Physical Review A |
| Volume | 46 |
| Issue number | 8 |
| DOIs | |
| State | Published - 1992 |
| Externally published | Yes |