.ChaoticCircuits.LorenzSystem

Information

Wikipedia: Lorenz attractor
Developed 1963 by Edward Lorenz to model atmospheric convection.
x is proportional to the rate of convection, y to the horizontal temperature variation and z to the vertical temperature variation.
σ depicts the Prandtl number, ρ the Rayleigh number and β the physical dimensions.
The original parameters were: σ=10,ρ=28,β=8/3.
Note: For β=1/3 periodic results are obtained.
Note: We could scale the time by factor k_t in ScaledBlocks and ImprovedCircuit (i.e. accelerate k_t<1 or slow down k_t>1 the simulation), but we woudl to take that time scale into account when comparing with the AnalyticEquations.

Contents

Name	Description
AnalyticEquations	Lorenz equations for atmospheric convection
ScaledBlocks	Lorenz equations for atmospheric convection
IdealCircuit	Lorenz equations for atmospheric convection
ImprovedCircuit	Lorenz equations for atmospheric convection