| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4629328 | Applied Mathematics and Computation | 2012 | 8 Pages |
Abstract
In this paper, traveling waves of a PDE model of excitable media are investigated. Traveling wave system of the model can be treated as a singular perturbation system in R3R3. By the dynamical system method and geometric singular perturbation theory, we prove that there exist two manifolds in R3R3 intersecting along a one-dimensional curve which exactly corresponds to a monotone kink wave or a saddle-spiral shock wave of the PDE model.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yuqian Zhou, Qian Liu, Weinian Zhang, Fuchun Yang,