Properties (48)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
mathematical map
|
| gptkbp:appliesTo |
cryptography
|
| gptkbp:associated_with |
the concept of entropy
ergodicity |
| gptkbp:can_be |
computer simulations
matrix form create complex patterns be applied to various dimensions be reversed under certain conditions be visualized in two dimensions. |
| gptkbp:description |
a chaotic system
|
| gptkbp:exhibits |
mixing behavior
|
| gptkbp:explores |
the nature of chaos
|
| gptkbp:has_a_focus_on |
theoretical physics
|
| gptkbp:hasPrograms |
image processing
|
| https://www.w3.org/2000/01/rdf-schema#label |
Arnold's cat map
|
| gptkbp:is_a |
deterministic chaos
a chaotic map area-preserving map |
| gptkbp:is_a_document_that |
has implications in various fields
illustrates chaos theory principles |
| gptkbp:is_a_model_for |
demonstrates complex behavior
|
| gptkbp:is_a_subject_of |
chaos theory
nonlinear dynamics linear maps the study of chaotic maps |
| gptkbp:is_a_time_for |
transforms points in the plane
|
| gptkbp:is_a_tool_for |
topological dynamics
|
| gptkbp:is_available_in |
a transformation of a square
|
| gptkbp:is_evaluated_by |
a linear transformation
|
| gptkbp:is_featured_in |
chaotic behavior in systems
|
| gptkbp:is_popular_among |
mathematical chaos
|
| gptkbp:is_recognized_for |
the unit square
|
| gptkbp:is_studied_in |
mathematics
Lyapunov exponents long-term behavior stability and instability the behavior of dynamical systems |
| gptkbp:is_used_in |
educational contexts
sensitivity to initial conditions dynamical systems theory the butterfly effect the concept of fractals |
| gptkbp:leads |
pattern formation
|
| gptkbp:previousName |
gptkb:Vladimir_Arnold
|
| gptkbp:related_to |
baker's_map
|
| gptkbp:replacedBy |
mixes points in a square
|
| gptkbp:significantEvent |
the field of chaos and complexity
|