A Potpourri of Stability Results

  • Michael Shub


Let Λ be a closed invariant hyperbolic set for f ∈ Diff r (M) which has a local product structure.


Periodic Point Global Stability Unstable Manifold Spectral Decomposition Transverse Intersection 


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  1. [9.1]
    Palis, J., A note on Ω-stability, in Global Analysis, Vol. XIV (Proceedings of Synposia in Pure Mathematics), American Mathematical Society, Providence, R. I., 1970, p. 221.Google Scholar
  2. [9.2]
    Robinson, C., C r structural stability implies Kupka–Smale, in Dynamical Systems, Peixoto (Ed.), Academic Press, New York, 1973, p. 443.Google Scholar
  3. [9.3]
    Smale, S., Stability and genericity in dynamical systems, Seminaire Bourbaki, 1969–1970, Lecture Notes in Mathematics, No. 180, Springer-Verlag, New York, 1971.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1987

Authors and Affiliations

  • Michael Shub
    • 1
  1. 1.Thomas J. Watson Research CenterIBMYorktown HeightsUSA

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