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.
UR - http://www.scopus.com/inward/record.url?scp=0039773021&partnerID=8YFLogxK
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 -