@inproceedings{854ae81b2eb742a2a5ef69b8686c3462,
title = "A differential equation based approach to sound synthesis and sequencing",
abstract = "Differential equations have been extensively used to model dynamical systems and provide sophisticated tools for their analysis. This work explores the potential of applying differential equations to the musical synthesis of sound and also a rudimentary algorithmic composition tool through transport equations. The Fitzhugh-Nagumo relaxation oscillator is implemented as a sound generator and is found to exhibit a rich harmonic frequency spectrum. The sequencing of tones is done through the modelling of impulses propagating on a randomly generated network, inspired by star constellations, governed by a transport equation. The propagation of different initial conditions on the network define an amplitude envelope for the excitation of each node on the graph.",
author = "Jacobs, {B. A.}",
note = "Publisher Copyright: {\textcopyright} 2016 B. A. Jacobs et al.; 42nd International Computer Music Conference, ICMC 2016 ; Conference date: 12-09-2016 Through 16-09-2016",
year = "2016",
language = "English",
series = "ICMC 2016 - 42nd International Computer Music Conference, Proceedings",
publisher = "HKU University of the Arts Utrecht, HKU Music and Technology",
pages = "557--561",
editor = "Hans Timmermans",
booktitle = "ICMC 2016 - 42nd International Computer Music Conference, Proceedings",
}