Lorenz equations

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf system of differential equations
gptkbp:application weather prediction
chaotic systems
gptkbp:describes atmospheric convection
gptkbp:dimensions three-dimensional
gptkbp:equation1 dx/dt = σ(y - x)
gptkbp:equation2 dy/dt = x(ρ - z) - y
gptkbp:equation3 dz/dt = xy - βz
gptkbp:famousFor gptkb:Lorenz_attractor
gptkbp:field gptkb:mathematics
chaos theory
dynamical systems
https://www.w3.org/2000/01/rdf-schema#label Lorenz equations
gptkbp:inventedBy gptkb:Edward_N._Lorenz
gptkbp:notable_for chaotic attractor
gptkbp:numberOfEquations 3
gptkbp:parameter β (geometric factor)
ρ (Rayleigh number)
σ (Prandtl number)
gptkbp:type ordinary differential equations
gptkbp:yearProposed 1963
gptkbp:bfsParent gptkb:Ordinary_Differential_Equations
gptkbp:bfsLayer 6