Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
dynamical system |
| gptkbp:category |
ergodic theory
smooth dynamical systems |
| gptkbp:defines |
A diffeomorphism of a compact manifold with a hyperbolic structure on the whole manifold
|
| gptkbp:example |
gptkb:Arnold's_cat_map
|
| gptkbp:field |
dynamical systems
differential topology |
| https://www.w3.org/2000/01/rdf-schema#label |
Anosov diffeomorphism
|
| gptkbp:introducedIn |
1960s
|
| gptkbp:namedAfter |
gptkb:Dmitri_Anosov
|
| gptkbp:property |
exhibits uniform hyperbolicity
has stable and unstable manifolds at every point |
| gptkbp:relatedTo |
gptkb:Smale_horseshoe
hyperbolic dynamical system structurally stable system |
| gptkbp:bfsParent |
gptkb:Dynamical_Systems
|
| gptkbp:bfsLayer |
5
|