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 |
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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 |
All Science Journal Classification (ASJC) codes
- Analysis