Traveling Pulse Solutions in a Three-Component FitzHugh--Nagumo Model

We use geometric singular perturbation techniques combined with an action functional approach to study traveling pulse solutions in a three-component FitzHugh--Nagumo model. First, we derive the profile of 1-pulse undetermined width and propagating speed. Next, compute associated for this from which conditions existence saddle-node bifurcation as zeros its derivatives. obtain same by using different analytical that exploits limit problem. also apply methodology problem 2-pulse explicit bifurcation. From these deduce necessary condition solutions. end article discussion related Hopf bifurcations near (A corrected version is attached.)