Hartman-Grobman theorem
Let and be open subsets of a Banach space such that .
If a diffeomorphism has as a hyperbolic fixed
point
, then and are locally topologically conjugate
at ,
i.e. there are neighborhoods
and of and a homeomorphism
such that
.
Title | Hartman-Grobman theorem |
---|---|
Canonical name | HartmanGrobmanTheorem |
Date of creation | 2013-03-22 14:25:15 |
Last modified on | 2013-03-22 14:25:15 |
Owner | Koro (127) |
Last modified by | Koro (127) |
Numerical id | 6 |
Author | Koro (127) |
Entry type | Theorem |
Classification | msc 37C25 |
Synonym | Grobman-Hartman theorem |
Synonym | Hartman’s theorem |