Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
dynamical system |
| gptkbp:application |
cryptography
study of chaos image scrambling |
| gptkbp:definedIn |
gptkb:butter
|
| gptkbp:example |
hyperbolic automorphism
linear map |
| gptkbp:field |
gptkb:mathematics
chaos theory dynamical systems |
| https://www.w3.org/2000/01/rdf-schema#label |
Arnold's cat map
|
| gptkbp:introduced |
gptkb:Vladimir_Arnold
|
| gptkbp:introducedIn |
1960s
|
| gptkbp:matrixRepresentation |
[[2,1],[1,1]]
|
| gptkbp:namedAfter |
gptkb:Vladimir_Arnold
|
| gptkbp:property |
ergodic
mixing exhibits chaos |
| gptkbp:recurrence |
finite for rational points
infinite for irrational points |
| gptkbp:relatedTo |
gptkb:Anosov_diffeomorphism
toral automorphism |
| gptkbp:type |
area-preserving map
invertible map |
| gptkbp:visualizes |
cat image transformation
|
| gptkbp:bfsParent |
gptkb:Dynamical_Systems
|
| gptkbp:bfsLayer |
5
|