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Stable manifolds for maps

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Global Theory of Dynamical Systems

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 819))

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References

  1. M. Hirsch, C. Pugh and M. Shub, Invariant manifolds, Lecture Notes in Math. no. 583, Springer, Berlin, 1977.

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  2. V.I. Oseledec, Multiplicative ergodic theorem, Lyapunov characteristic numbers for dynamical systems. Trudy Moskov., Mat. Obsc. 19, 179–210 (1968). English transl. Trans. Moscow Math. Soc., 19, 197–221 (1968).

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  3. Ya. B. Pesin, Invariant manifold families which correspond to non-vanishing characteristic exponents. Izv. Akad. Nauk SSSR, Ser. Mat. 40 no. 6, 1332–1379. (1976), English transl. Math. USSSR izv. 10, no. 6, 1261–1305 (1976).

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  4. M.S. Raghunathan, A proof of Oseledec multiplicative ergodic theorem, Israel J. Math. To appear.

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  5. D. Ruelle, Ergodic theory of differentiable dynamical systems. I.H.E.S. Publications Mathematiques. To appear.

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  6. D. Ruelle, Invariant manifolds for flows in Hilbert space, to appear.

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Author information

Authors and Affiliations

  1. IHES, 91 Bures-sur-Yvette, France

    David Ruelle

  2. Queens College of the City University of New York, Flushing, New York

    Michael Shub

Authors
  1. David Ruelle
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  2. Michael Shub
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Editor information

Zbigniew Nitecki Clark Robinson

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© 1980 Springer-Verlag

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Ruelle, D., Shub, M. (1980). Stable manifolds for maps. In: Nitecki, Z., Robinson, C. (eds) Global Theory of Dynamical Systems. Lecture Notes in Mathematics, vol 819. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087002

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  • DOI: https://doi.org/10.1007/BFb0087002

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10236-6

  • Online ISBN: 978-3-540-38312-3

  • eBook Packages: Springer Book Archive

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