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MR1142998 (92m:58101) 58F15 (58F39 65J15 65M12)
Alouges, François; Debussche, Arnaud On the qualitative behavior of the orbits of a parabolic partial differential equation and its discretization in the neighborhood of a hyperbolic fixed point. Numer. Funct. Anal. Optim. 12 (1991), no. 3-4, 253--269.
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