A new proof of the stable manifold theorem

Zeitschrift fur Angewandte Mathematik und Physik

Volumn 47, Issue 4, 1996, Pages 497-513

  McGehee, Richard ^a   Sander, Evelyn ^b  

^a Geometry Center   (United States)

^b UNIVERSITY OF MINNESOTA   (United States)

Author keywords

Dynamical systems; Invariant manifolds; Iteration; Multivalued maps; Relations

Indexed keywords

EID: 0030490229     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00914867     Document Type: Article

References (6)

1. E. Akin, The General Topology of Dynamical Systems. American Mathematical Society, 1993.
2. Geomview, Geometry Center Software, by Stuart Levy, Tamara Munzner, Mark Phillips, Celeste Fowler, and Nathaniel Thurston. Figures were made using Geomview.
3. M. Hirsch and Ch. Pugh, Stable Manifolds and Hyperbolic Sets, Proc. Symp. Pure Math 14 (1970), 133-163.
4. R. McGehee, Attractors for Closed Relations on Compact Hausdorff Spaces. Indiana University Mathematics J. 41 (1992), 1165-1209.
5. R. McGehee, The Stable Manifold Via An Isolating Block. Symposium on Ordinary Differential Equations (Eds. W. Harris and Y. Sibuya), Lecture Notes in Math. 312, Springer-Verlag, Berlin 1973, 135-144.
6. C. Robinson, Dynamical Systems, CRC Press, 1995.