24 citations · 72 across the 28 of their papers we have counts for
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math.DS2018★ 1 cited
Travelling waves for spatially discrete systems of FitzHugh-Nagumo type with periodic coefficients
W. M. Schouten, H. J. Hupkes
We establish the existence and nonlinear stability of travelling wave solutions for a class of lattice differential equations (LDEs) that includes the discrete FitzHugh-Nagumo syst…
math.DS2018★ 24 cited
Nonlinear stability of pulse solutions for the discrete FitzHugh-Nagumo equation with infinite-range interactions
W. M. Schouten, H. J. Hupkes
We establish the existence and nonlinear stability of travelling pulse solutions for the discrete FitzHugh-Nagumo equation with infinite-range interactions close to the continuum l…