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math.AP2026
Propagation failure in heterogeneous FitzHugh--Nagumo systems via coupled upper and lower solutions
Matías Courdurier, Esteban Paduro
Traveling waves are fundamental objects in reaction--diffusion systems; however, spatial heterogeneities can distort or inhibit their propagation. Determining whether a given heter…
math.AP2023★ 1 cited
Approximation and stability results for the parabolic FitzHugh-Nagumo system with combined rapidly oscillating sources
Eduardo Cerpa, Matías Courdurier, Esteban Hernández +2
The use of high-frequency currents in neurostimulation has received increased attention in recent years due to its varied effects on tissues and cells. Nonlinear differential equat…