We present a new set of kinematic equations for front motion in bistable media. The equations extend earlier kinematic approaches by coupling the front curvature with the order parameter associated with a parity-breaking front bifurcation. In addition to naturally describing the core region of rotating spiral waves, the equations can be used to study the nucleation of spiral-wave pairs along uniformly propagating fronts. The analysis of spiral-wave nucleation reduces to the simpler problem of droplet, or domain, nucleation in one space dimension.
|Number of pages||7|
|Journal||Physica A: Statistical Mechanics and its Applications|
|State||Published - 2 Jan 1998|
ASJC Scopus subject areas
- Statistics and Probability
- Condensed Matter Physics