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Cite Details

Aric Hagberg and Ehud Meron, "Kinematic equations for front motion and spiral-wave nucleation", Physica A, vol. 249, pp. 118, 1998

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.

BibTeX Entry

@article{hagberg-1998-kinematic,
author = {Aric Hagberg and Ehud Meron},
title = {Kinematic equations for front motion and spiral-wave nucleation},
year = {1998},
urlpdf = {http://math.lanl.gov/~hagberg/Papers/kinematic/kinematic.pdf},
journal = {Physica A},
volume = {249},
pages = {118}
}