Kinematic equations for front motion and spiral-wave nucleation Academic Article uri icon

abstract

  • 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.

publication date

  • January 1, 1998