| University of Minnesota School of Mathematics |
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A New Proof of the Stable Manifold Theorem Richard McGehee and Evelyn Sander Zeitschrift für Angewandte Mathematik und Physik (ZAMP) 47 (1996), 497-513. doi: https://doi.org/10.1007/BF00914867
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| School of Mathematics | |||
| Richard McGehee | |||
| McGehee & Sander 1996 | |||
| Preprint | |||
Abstract. We give a new proof of the stable manifold theorem for
hyperbolic fixed points of smooth maps.
This proof shows that
the local stable and unstable manifolds are projections of a relation
obtained as a limit of the graphs of the iterates of the map. The same proof generalizes to
the setting of stable and unstable manifolds for smooth relations.
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Electronic Copies Reprints are available for subscribers to download from the journal Web site: The original preprint was posted on October 3, 1995, at the Geometry Center as GCG 88.
The Geometry Center Website is maintained now at the University of Illinois. |