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Talk Abstract
Calculating Stable and Unstable Manifolds

Eric Kostelich, Arizona State University

Two numerical procedures are described that can accurately compute the stable manifold of a saddle fixed point for a map of R2. The first is applicable if the map is a diffeomorphism, and the second can be used when the map has no inverse. We rigorously analyze the errors that arise in the computation and guarantee that they are small. We also argue that a simpler, non-rigorous algorithm nevertheless produces highly accurate representations of the stable manifold.

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