The Global Structure of Traveling Waves in Spatially Discrete Dynamical Systems
نویسنده
چکیده
We obtain existence of traveling wave solutions for a class of spatially discrete systems, namely lattice di erential equations. Uniqueness of the wave speed c, and uniqueness of the solution with c 6= 0, are also shown. More generally, the global structure of the set of all traveling wave solutions is shown to be a smooth manifold where c 6= 0. Convergence results for solutions are obtained at the singular perturbation limit c! 0.
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