Lyapunov Space of Coupled FM Oscillators

Lyapunov Space of Coupled FM Oscillators

I'm currently enjoying the Linux Audio Conference 2013 in Graz, Austria. On Saturday morning I'll present my paper Lyapunov Space of Coupled FM Oscillators:

I consider two coupled oscillators, each modulating the other's frequency. This system is governed by four parameters: the base frequency and modulation index for each oscillator. For some parameter values the system becomes unstable. I use the Lyapunov exponent to measure the instability. I generate images of the parameter space, implementing the number crunching on graphics hardware using OpenGL. I link the mouse position over the displayed image to realtime audio output, creating an audio-visual browser for the 4D parameter space.

I'll upload the slides and demos soon.