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It has been shown that the discrete Nagumo equation \[ u_n = d(un - 1 - 2u_n + un + 1 ) + f(u_n ), n ∈ Z,\], has a traveling wavefront solution for sufficiently strong coupling d. In this paper it is shown that such a traveling wavefront is unique (up to a shift in time) and globally stable.
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Bertram Zinner (1991) studied this question.
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