Basic chaotic modulation source units.

Documentation

Logistic Map

A clocked modulation source modelling the basic logistic map equation.

Other than the clock input, there is a single parameter r. With r in the range [3.56995, 4] the sequence is chaotic for most values of r. Smaller values of r in that range exhibit more periods of (approximately) periodic behaviour, before sudden changes. With r Below 3.56995 the sequence will converge towards oscillating between 1, 2, 4 , 8, or 16 fixed values.

Lorenz system

This is a continuous modulation source.

The Lorenz system is defined by a set of three ordinary differential equations.

There other than the rate, there are three parameters in the differential equations that can be adjusted from their starting values of ρ = 28, σ = 10, and β = 8/3. Care must be taken: it's pretty easy to land on values where oscillation stops entirely.

There are three options for the output corresponding to the the variables in the system of differential equations: x, y, and z. For many parameters x and y will exhibit quite similar behaviour, but not always.