Linux Audio Conference 2013
Lyapunov Space of Coupled FM Oscillators
Claude Heiland-Allen
 240p  360p  480p  720p 

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.

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