B. Bezekci, V. N. Biktashev
Submitted to Chaos: 2017/03/14. Accepted: 2017/06/26. Published 2017/08/25 as Chaos 27, 093916, 2017.
We study the problem of initiation of excitation waves in the FitzHugh-Nagumo model. Our approach follows earlier works and is based on the idea of approximating the boundary between basins of attraction of propagating waves and of the resting state as the stable manifold of a critical solution. Here, we obtain analytical expressions for the essential ingredients of the theory by singular perturbation using two small parameters, the separation of time scales of the activator and inhibitor, and the threshold in the activator's kinetics. This results in a closed analytical expression for the strength-duration curve.
DOI: 10.1063/1.4999472Preprint and/or other related files:
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