Topological simplification of nonautonomous difference equations

35. Bernd Aulbach, Thomas Wanner:
    Topological simplification of nonautonomous difference equations
    Journal of Difference Equations and Applications 12(3-4), pp. 283-296, 2006.

Abstract

In this paper we continue the study of geometric properties of nonautonomous difference equations in arbitrary Banach spaces which was begun in Aulbach, Wanner (1998, 2003). Building on previous results on invariant fiber bundles and foliations, this paper addresses the problem of topological simplifications via continuous conjugacies and semiconjugacies. In particular, we establish a reduction principle for not necessarily invertible difference equations, as well as a generalized Hartman-Grobman theorem for systems with not necessarily invertible linear part.

Links

The published version of the paper can be found at https://doi.org/10.1080/10236190500489384.

Bibtex

@article{aulbach:wanner:06a,
   author = {Bernd Aulbach and Thomas Wanner},
   title = {Topological simplification of nonautonomous
            difference equations},
   journal = {Journal of Difference Equations and Applications},
   year = 2006,
   volume = 12,
   number = {3--4},
   pages = {283--296},
   doi = {10.1080/10236190500489384}
   }