85
Views
13
CrossRef citations to date
0
Altmetric
Original Articles

Topological simplification of nonautonomous difference equations

&
Pages 283-296 | Received 09 Aug 2005, Published online: 31 Aug 2006

References

  • Aulbach , B. 1995 . Hierarchies of invariant fiber bundles . Southeast Asian Bulletin of Mathematics , 19 ( 2 ) : 91 – 98 .
  • Aulbach , B. 1998 . The fundamental existence theorem on invariant fiber bundles . Journal of Difference Equations and Applications , 3 ( 5–6 ) : 501 – 537 .
  • Aulbach , B. and Wanner , T. 2003 . Invariant foliations and decoupling of non-autonomous difference equations . Journal of Difference Equations and Applications , 9 ( 5 ) : 459 – 472 .
  • Hartman , P. 1982 . Ordinary Differential Equations , Boston–Basel–Stuttgart : Birkhäuser .
  • Hilger , S. Ein Maßkettenkalkül mit Anwendung auf Zentrumsmannigfaltigkeiten . Phd thesis . Universität Würzburg .
  • Irwin , M.C. 1980 . Smooth Dynamical Systems , London : Academic Press .
  • Kirchgraber , U. and Palmer , K.J. 1990 . Geometry in the Neighborhood of Invariant Manifolds of Maps and Flows and Linearization , Harlow : Longman Scientific & Technical .
  • Pugh , C.C. 1969 . On a theorem of P. Hartman . American Journal of Mathematics , 91 : 363 – 367 .
  • Quandt , J. 1986 . On the Hartman–Grobman theorem for maps . Journal of Differential Equations , 64 ( 2 ) : 154 – 164 .
  • Wanner , T. Invariante Faserbündel und topologische Äquivalenz bei dynamischen Prozessen . Master's thesis . Universität Augsburg .
  • Wanner , T. Zur Linearisierung zufälliger dynamischer Systeme . PhD thesis . Universität Augsburg .
  • Wanner , T. 1995 . “ Linearization of random dynamical systems ” . In Dynamics Reported , Edited by: Jones , C.K. , Kirchgraber , U. and Walther , H.-O. Vol. 4 , 203 – 269 . Berlin–Heidelberg–New York : Springer-Verlag .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.