TY - JOUR
T1 - Kinematic equations for front motion and spiral-wave nucleation
AU - Hagberg, Aric
AU - Meron, Ehud
N1 - Funding Information:
We wish to thank Paul Fife for many interesting discussions. This research was supported in part by grant No 95-00112 from the US–Israel Binational Science Foundation (BSF).
PY - 1998/1/2
Y1 - 1998/1/2
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0031999324&partnerID=8YFLogxK
U2 - 10.1016/S0378-4371(97)00439-1
DO - 10.1016/S0378-4371(97)00439-1
M3 - Article
AN - SCOPUS:0031999324
SN - 0378-4371
VL - 249
SP - 118
EP - 124
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 1-4
ER -