Statements (25)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
dynamical system |
| gptkbp:category |
mathematical mapping
|
| gptkbp:definedIn |
gptkb:aircraft
|
| gptkbp:describes |
chaotic behavior
|
| gptkbp:exhibits |
sensitive dependence on initial conditions
topological mixing dense periodic points |
| gptkbp:field |
gptkb:mathematics
chaos theory dynamical systems |
| gptkbp:hasProperty |
invertible
area-preserving (in standard form) |
| https://www.w3.org/2000/01/rdf-schema#label |
Smale's horseshoe map
|
| gptkbp:influenced |
modern dynamical systems theory
theory of chaos |
| gptkbp:introducedIn |
1960s
|
| gptkbp:namedAfter |
gptkb:Stephen_Smale
|
| gptkbp:relatedTo |
gptkb:symbolic_dynamics
hyperbolic dynamics |
| gptkbp:type |
gptkb:discrete-time_dynamical_system
|
| gptkbp:usedFor |
demonstrating chaos
|
| gptkbp:visualizes |
stretching and folding of a square
|
| gptkbp:bfsParent |
gptkb:Michael_Shub
|
| gptkbp:bfsLayer |
6
|