Skip to main content

Approach to hyperbolic manifolds of stationary solutions

Part of the Lecture Notes in Mathematics book series (LNM,volume 1017)

Keywords

  • Periodic Solution
  • Stationary Solution
  • Homoclinic Orbit
  • Stable Manifold
  • Hyperbolic Manifold

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.00
Price excludes VAT (Canada)
  • 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. A.A. Andronov, E.A. Leontovich, I.I. Gordon and A.G. Maier, Qualitative theory of second-order dynamic systems. Wiley, New York 1973.

    MATH  Google Scholar 

  2. B. Aulbach, Asymptotic amplitude and phase for isochronic families of periodic solutions, in "Analytical and Numerical Approaches to Asymptotic Problems in Analysis", 265–271, North Holland, Amsterdam 1981.

    Google Scholar 

  3. B. Aulbach, Behavior of solutions near manifolds of periodic solutions. J.Differential Equations 39 (1981), 345–377.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. B. Aulbach, Invariant manifolds with asymptotic phase. J.Nonlinear Analysis 6 (1982), 817–827.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. B.Aulbach and K.P.Hadeler, Convergence to equilibrium in the classical model of population genetics. Preprint No.83, Math. Inst. Univ. Würzburg 1982.

    Google Scholar 

  6. W.A. Coppel, Dichotomies in stability theory. Lecture Notes in Mathematics No.629, Springer, Berlin 1978.

    MATH  Google Scholar 

  7. J.K. Hale and P. Massatt, Asymptotic behavior of gradient-like systems, in "Univ. Florida Symp. Dyn. Syst. II", Academic Press, New York 1982.

    Google Scholar 

  8. P. Hartman, Ordinary differential equations. Wiley, New York 1964.

    MATH  Google Scholar 

  9. H.W.Knobloch and B.Aulbach, The role of center manifolds in ordinary differential equations, to appear.

    Google Scholar 

  10. I.G.Malkin, Theory of stability of motion (Russian), Moscow 1952.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1983 Springer-Verlag

About this paper

Cite this paper

Aulbach, B. (1983). Approach to hyperbolic manifolds of stationary solutions. In: Knobloch, H.W., Schmitt, K. (eds) Equadiff 82. Lecture Notes in Mathematics, vol 1017. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0103235

Download citation

  • DOI: https://doi.org/10.1007/BFb0103235

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12686-7

  • Online ISBN: 978-3-540-38678-0

  • eBook Packages: Springer Book Archive