hyperbolic dynamical systems
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:characterizedBy |
stable and unstable manifolds
uniform hyperbolicity |
| gptkbp:example |
gptkb:Smale_horseshoe
gptkb:Anosov_diffeomorphism gptkb:Axiom_A_system |
| gptkbp:field |
gptkb:mathematics
dynamical systems |
| https://www.w3.org/2000/01/rdf-schema#label |
hyperbolic dynamical systems
|
| gptkbp:importantFor |
gptkb:Shadowing_Lemma
gptkb:Spectral_Decomposition_Theorem gptkb:Stable_Manifold_Theorem |
| gptkbp:namedFor |
gptkb:Stephen_Smale
|
| gptkbp:property |
sensitive dependence on initial conditions
chaotic behavior structural stability |
| gptkbp:relatedTo |
chaos theory
topological mixing Lyapunov exponent |
| gptkbp:studiedIn |
differential geometry
ergodic theory |
| gptkbp:bfsParent |
gptkb:Markov_partition
|
| gptkbp:bfsLayer |
6
|