Lorenz attractor

GPTKB entity
AI-created image of Lorenz attractor
AI-created image

Statements (30)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
strange attractor
gptkbp:category deterministic chaos
nonlinear system
gptkbp:describedBy 1963
gptkbp:describes chaotic system
gptkbp:dimensions three
gptkbp:discoveredBy gptkb:Edward_Lorenz
gptkbp:equations dx/dt = σ(y − x)
dy/dt = x(ρ − z) − y
dz/dt = xy − βz
gptkbp:exhibits sensitive dependence on initial conditions
https://www.w3.org/2000/01/rdf-schema#label Lorenz attractor
gptkbp:influenced weather prediction
gptkbp:originatedIn gptkb:Lorenz_system
gptkbp:parameter β (beta)
ρ (rho)
σ (sigma)
gptkbp:relatedTo gptkb:Edward_Lorenz
gptkb:butterfly_effect
chaos theory
dynamical system
gptkbp:typicalBeta 8/3
gptkbp:typicalRho 28
gptkbp:typicalSigma 10
gptkbp:usedIn chaos theory
dynamical systems
gptkbp:visualizes butterfly shape
gptkbp:bfsParent gptkb:Edward_Norton_Lorenz
gptkbp:bfsLayer 3