Skip to main content
  • 952 Accesses

Abstract

We have begun to study hyperbolic invariant sets. Before we continue we must generalize our definitions in the case of a fixed point, to allow us to work in an arbitrary Banach space.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Hirsch, M. W., Pugh, C. C. and Shub, M., Invariant Manifolds, Lecture Notes in Mathematics, No. 583, Springer-Verlag, New York, 1976.

    Google Scholar 

  2. Irwin, M. C., On the stable manifold theorem, Bull. London Math. Soc. 2 (1970), 196.

    Article  MathSciNet  MATH  Google Scholar 

  3. Irwin, M. C., On the smoothness of the composition map, Quart. J. Math. Oxford 23 (1972), 113

    Article  MathSciNet  MATH  Google Scholar 

  4. Irwin, M. C., On the smoothness of the composition map, Bull. London Math. Soc. 2 (1970), 196.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1987 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Shub, M. (1987). Stable Manifolds. In: Global Stability of Dynamical Systems. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-1947-5_5

Download citation

  • DOI: https://doi.org/10.1007/978-1-4757-1947-5_5

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-3079-8

  • Online ISBN: 978-1-4757-1947-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics