Statements (59)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:maps
|
| gptkbp:applies_to |
dynamical systems
|
| gptkbp:depicts |
the concept of chaos
|
| gptkbp:discovered_by |
gptkb:Stephen_Smale
|
| gptkbp:exhibits |
sensitive dependence on initial conditions
|
| gptkbp:has_applications_in |
physics
|
| gptkbp:has_property |
stretching and folding
|
| https://www.w3.org/2000/01/rdf-schema#label |
Smale's horseshoe map
|
| gptkbp:is_a |
gptkb:Mathematics
gptkb:Model gptkb:language gptkb:computer example of a chaotic map example of a chaotic system mathematical abstraction example of a hyperbolic system topological dynamical system bifurcation map example of a chaotic attractor example of a chaotic behavior model example of a chaotic dynamical system example of a dynamical system example of a mathematical function example of a nonlinear map example of a topological map piecewise linear map topological map |
| gptkbp:is_analyzed_in |
gptkb:topology
nonlinear systems topological methods |
| gptkbp:is_characterized_by |
nonlinear dynamics
|
| gptkbp:is_considered |
ergodic theory
|
| gptkbp:is_explored_in |
mathematical literature
the nature of chaos chaos theory research |
| gptkbp:is_part_of |
dynamical systems theory
|
| gptkbp:is_related_to |
gptkb:Lyapunov_exponents
complexity theory bifurcation theory dynamical behavior mathematical chaos symbolic dynamics |
| gptkbp:is_represented_in |
matrices
|
| gptkbp:is_studied_for |
its role in chaos theory
its fractal properties its implications in physics |
| gptkbp:is_studied_in |
gptkb:Mathematics
mathematical analysis |
| gptkbp:is_used_in |
gptkb:Physics
mathematical modeling computer simulations chaos theory nonlinear dynamics the study of strange attractors |
| gptkbp:model |
complex systems
|
| gptkbp:was_a_demonstration_of |
chaotic behavior
the unpredictability of systems |
| gptkbp:bfsParent |
gptkb:Stephen_Smale
|
| gptkbp:bfsLayer |
5
|