Smale's horseshoe

GPTKB entity

Statements (24)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
dynamical system
hyperbolic dynamical system
chaotic map
topological horseshoe
gptkbp:describes chaotic behavior
gptkbp:field gptkb:mathematics
dynamical systems
gptkbp:hasProperty sensitive dependence on initial conditions
topological mixing
dense periodic points
https://www.w3.org/2000/01/rdf-schema#label Smale's horseshoe
gptkbp:introduced gptkb:Stephen_Smale
gptkbp:introducedIn 1960s
gptkbp:namedAfter gptkb:Stephen_Smale
gptkbp:relatedTo gptkb:symbolic_dynamics
strange attractor
shift map
gptkbp:usedIn ergodic theory
study of chaos theory
gptkbp:visualizes stretching and folding of a square
gptkbp:bfsParent gptkb:Stephen_Smale
gptkb:Dynamical_Systems
gptkbp:bfsLayer 5