DynSysAudio

A very basic package for the sonification of Dynamical Systems using DifferentialEquations.jl and SampledSignals.jl

The main element is the ODE audio source ODESource, inspired in the SinSource.jl Sinusoidal Generator of SampledSignals.jl. This mutable structure is defined as:

ode_source = ODESource(Float64, f, sr, dt, uini,p);

where $f$ is the vector field, $sr$ the sampling rate, $dt$ the time step (for time scaling) and $uini$ and $p$ are two arrays corresponding to the initial conditions and the parameters of the dynamical system respectively.

The function read(ode_source,buffer_size) returns a buffer of duration buffer_size (specified in real units using Unitful), which is a SampleBuf data type that can be written directly to the audio output:

using Pipe:@pipe; @pipe read(ode_source,buffer_size) |> write(soundcard,_)

where soundcard is the Portaudio device.

If the number of variables of the vector field does not match the number of channels, a mapping function can be defined using a mixed matrix. For example, for mapping the two first variables of a 3D flow to the left and right channels of a stereo output the matrix is: mapping=[1 0; 0 1; 0 0] and the mixer can be inserted before the audio output:

using Pipe:@pipe; @pipe read(ode_source,buffer_size) |> mixer(mapping,_) |> write(soundcard,_)

Also, a few Pluto notebooks with examples are provided.