Kinematic equations for front motion and spiral-wave nucleation

Aric Hagberg, Ehud Meron

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


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.

Original languageEnglish
Pages (from-to)118-124
Number of pages7
JournalPhysica A: Statistical Mechanics and its Applications
Issue number1-4
StatePublished - 2 Jan 1998

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics


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