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arXiv · patt-sol/9709004

Kinematic Equations for Front Motion and Spiral-Wave Nucleation

Aric Hagberg·Ehud Meron
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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 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.

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Aric Hagberg, Ehud Meron. 1997-09-23. Kinematic Equations for Front Motion and Spiral-Wave Nucleation. https://doi.org/10.1016/s0378-4371(97)00439-1

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