dorsal/arxiv
View SchemaKinematic Equations for Front Motion and Spiral-Wave Nucleation
| Authors | Aric Hagberg, Ehud Meron |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9709004 |
| URL | https://arxiv.org/abs/patt-sol/9709004 |
| DOI | 10.1016/S0378-4371(97)00439-1 |
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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"date_created": "2026-03-02T18:00:29.390000Z",
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"abstract": "We present a new set of kinematic equations for front motion in bistable\nmedia. The equations extend earlier kinematic approaches by coupling the front\ncurvature with the order parameter associated with a parity breaking front\nbifurcation. In addition to naturally describing the core region of rotating\nspiral waves the equations can be be used to study the nucleation of\nspiral-wave pairs along uniformly propagating fronts. The analysis of\nspiral-wave nucleation reduces to the simpler problem of droplet, or domain,\nnucleation in one space dimension.",
"arxiv_id": "patt-sol/9709004",
"authors": [
"Aric Hagberg",
"Ehud Meron"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1016/S0378-4371(97)00439-1",
"title": "Kinematic Equations for Front Motion and Spiral-Wave Nucleation",
"url": "https://arxiv.org/abs/patt-sol/9709004"
},
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