Basic chaotic modulation source units.
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.
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.