Abstract
Consideration is devoted to traveling N-front wave solutions of the FitzHugh-Nagumo equations of the bistable type. Especially, stability of the N-front wave is proven. In the proof, the eigenvalue problem for the N-front wave bifurcating from coexisting simple front and back waves is regarded as a bifurcation problem for projectivised eigenvalue equations, and a topological index is employed to detect eigenvalues.
| Original language | English |
|---|---|
| Pages (from-to) | 515-555 |
| Number of pages | 41 |
| Journal | Journal of Dynamics and Differential Equations |
| Volume | 11 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Jan 1 1999 |
| Externally published | Yes |
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All Science Journal Classification (ASJC) codes
- Analysis
Cite this
A topological proof of stability of N-front solutions of the FitzHugh-Nagumo equations. / Nii, Shunsaku.
In: Journal of Dynamics and Differential Equations, Vol. 11, No. 3, 01.01.1999, p. 515-555.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A topological proof of stability of N-front solutions of the FitzHugh-Nagumo equations
AU - Nii, Shunsaku
PY - 1999/1/1
Y1 - 1999/1/1
N2 - Consideration is devoted to traveling N-front wave solutions of the FitzHugh-Nagumo equations of the bistable type. Especially, stability of the N-front wave is proven. In the proof, the eigenvalue problem for the N-front wave bifurcating from coexisting simple front and back waves is regarded as a bifurcation problem for projectivised eigenvalue equations, and a topological index is employed to detect eigenvalues.
AB - Consideration is devoted to traveling N-front wave solutions of the FitzHugh-Nagumo equations of the bistable type. Especially, stability of the N-front wave is proven. In the proof, the eigenvalue problem for the N-front wave bifurcating from coexisting simple front and back waves is regarded as a bifurcation problem for projectivised eigenvalue equations, and a topological index is employed to detect eigenvalues.
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UR - http://www.scopus.com/inward/citedby.url?scp=0039773021&partnerID=8YFLogxK
U2 - 10.1023/A:1021965920761
DO - 10.1023/A:1021965920761
M3 - Article
AN - SCOPUS:0039773021
VL - 11
SP - 515
EP - 555
JO - Journal of Dynamics and Differential Equations
JF - Journal of Dynamics and Differential Equations
SN - 1040-7294
IS - 3
ER -