A Combinatorial Problem Arising in the Study of Reaction-Diffusion Equations.
Abstract
A discrete model is studied based on the observed behavior of excitable media. This model has the basic properties of an excitable medium, that is, a threshold phenomenon, a refractory period, and a globally stable rest point. We are mainly interested in two dimensional periodic patterns. The initial conditions which lead to such patterns are characterized by introducing a basic invariant, the 'winding number of a continuous cycle'.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1978
- Accession Number
- ADA060663
Entities
People
- C. Greene
- Joel A. Greenberg
- S. Hastings
Organizations
- University of Wisconsin–Madison