Name
Title | ||
|---|---|---|
Stability of periodic traveling waves in the Aliev–Panfilov reaction–diffusion system |
Abstract | ||
|---|---|---|
•We study the stability of periodic traveling wave solutions (PTWs) for the Aliev–Panfilov model of cardiac excitation.•Our calculations of essential spectra show a stability change of Eckhaus type in the PTWs, when a model parameter is varied.•A stability boundary between stable and unstable PTWs is calculated.•We show that the stable wave bifurcates to an oscillating pattern, based on the stability boundary.•The far-field spiral breakup is found numerically based on the instability of the PTWs. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1016/j.cnsns.2015.09.002 | Communications in Nonlinear Science and Numerical Simulation |
Keywords | DocType | Volume |
Periodic traveling wave,Aliev–Panfilov model,Eckhaus instability,Oscillating periodic traveling wave,Essential spectrum | Journal | 33 |
ISSN | Citations | PageRank |
1007-5704 | 0 | 0.34 |
References | Authors | |
6 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| M. Osman Gani | 1 | 1 | 0.72 |
| Toshiyuki Ogawa | 2 | 26 | 7.90 |