Skip to main content

Saddle connections of arcs of diffeomorphisms: Moduli of stability

  • Contributed Papers
  • Conference paper
  • First Online:
Dynamical Systems and Turbulence, Warwick 1980

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 898))

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 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.95
Price excludes VAT (USA)
  • Compact, lightweight 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. P. Hartman, On local homeomorphisms of Euclidean spaces, Bol. Soc. Mat. Mexicana (2) 5, (1960).

    Google Scholar 

    Google Scholar 

  2. M. Hirsch, C. Pugh & M. Shub, Lecture Notes in Math., Springer-Verlag, 583, (1977).

    Google Scholar 

  3. W. de Melo, Moduli of stability of two-dimensional diffeomorphisms, Topology 19, (1980), 9–21.

    Article  MathSciNet  MATH  Google Scholar 

  4. W. de Melo & J. Palis, Moduli of stability for diffeomorphisms, Conference at Northwestern University, Lecture Notes in Math., Springer-Verlag, 819, (1980).

    Google Scholar 

  5. W. de Melo, J. Palis & S. J. van Strien, Characterising diffeomorphisms with modulus of stability one, this volume.

    Google Scholar 

  6. S. Newhouse, J. Palis & F. Takens, Stable families of diffeomorphisms, IMPA preprint, to appear.

    Google Scholar 

  7. J. Palis, A differentiable invariant of topological conjugacies and moduli of stability, Astérisque 51, (1978), 335–346.

    MathSciNet  MATH  Google Scholar 

  8. J. Palis & S. Smale, Structural stability theorems, Proc. Symp. Pure Math. A.M.S. 14, (1970), 223–232.

    Article  MathSciNet  MATH  Google Scholar 

  9. F. Takens, Moduli of instability; non-transversal intersections of invariant manifolds of vector fields, preprint.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

David Rand Lai-Sang Young

Rights and permissions

Reprints and permissions

Copyright information

© 1981 Springer-Verlag

About this paper

Cite this paper

van Strien, S.J. (1981). Saddle connections of arcs of diffeomorphisms: Moduli of stability. In: Rand, D., Young, LS. (eds) Dynamical Systems and Turbulence, Warwick 1980. Lecture Notes in Mathematics, vol 898. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0091923

Download citation

  • DOI: https://doi.org/10.1007/BFb0091923

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11171-9

  • Online ISBN: 978-3-540-38945-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics