Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Arnold's_cat_map
|
| gptkbp:application |
study of ergodic theory
study of mixing properties |
| gptkbp:definedIn |
gptkb:2-dimensional_torus
|
| gptkbp:determinant |
1
|
| gptkbp:example |
hyperbolic automorphism
|
| gptkbp:exhibits |
sensitive dependence on initial conditions
|
| gptkbp:field |
chaos theory
dynamical systems |
| gptkbp:hasEigenvalues |
(3±√5)/2
|
| https://www.w3.org/2000/01/rdf-schema#label |
cat map
|
| gptkbp:introduced |
gptkb:Vladimir_Arnold
|
| gptkbp:matrixRepresentation |
[[2,1],[1,1]]
|
| gptkbp:namedAfter |
gptkb:Anatole_Katok
|
| gptkbp:property |
exhibits chaos
area-preserving |
| gptkbp:type |
gptkb:discrete-time_dynamical_system
toral automorphism |
| gptkbp:visualizes |
image scrambling on torus
|
| gptkbp:bfsParent |
gptkb:Nonlinear_Dynamics
|
| gptkbp:bfsLayer |
7
|