.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 have to take that time scale into account when comparing with the AnalyticEquations.

References:

• [Lorenz1963]

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