Statements (22)
| Predicate | Object | 
|---|---|
| gptkbp:instanceOf | gptkb:mathematical_concept gptkb:chaotic_map gptkb:topological_horseshoe gptkb:hyperbolic_dynamical_system | 
| gptkbp:describes | chaotic behavior | 
| gptkbp:field | dynamical systems | 
| gptkbp:hasProperty | sensitive dependence on initial conditions topological mixing dense periodic orbits | 
| gptkbp:introduced | gptkb:Stephen_Smale | 
| gptkbp:introducedIn | 1960s | 
| gptkbp:namedAfter | gptkb:Stephen_Smale | 
| gptkbp:relatedTo | gptkb:strange_attractor gptkb:symbolic_dynamics shift map | 
| gptkbp:usedIn | study of chaos theory mathematical modeling of dynamical systems | 
| gptkbp:visualizes | stretching and folding of a square | 
| gptkbp:bfsParent | gptkb:Anosov_diffeomorphism gptkb:horseshoe_map | 
| gptkbp:bfsLayer | 7 | 
| https://www.w3.org/2000/01/rdf-schema#label | Smale horseshoe |