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| In this talk I will consider the FitzHugh-Nagumo slow-fast system arising from the travelling wave equation for the FitzHugh-Nagumo neuron model with diffusion. The existence of periodic solutions of this system is well known for timescales ratio parameter $ \varepsilon \in (0, \varepsilon_{0}] $, $\varepsilon_{0}$ sufficiently small. The method I will present allows proving the existence of such solutions for $\varepsilon_{0}$ explicit,
by combining rigorous numerical integration with the use of topological methods. |
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