Conference paper Open Access

# Fb1_ODE – an Interface for Synthesis and Sound Processing with Ordinary Differential Equations in SuperCollider

Daniel Mayer

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{
"publisher": "Zenodo",
"DOI": "10.5281/zenodo.5038733",
"language": "eng",
"title": "Fb1_ODE \u2013 an Interface for Synthesis and Sound Processing with Ordinary Differential Equations in SuperCollider",
"issued": {
"date-parts": [
[
2021,
6,
28
]
]
},
"abstract": "<p>The class Fb1_ODE, included in the miSCellaneous_lib quark extension library [1] of SuperCollider (SC, [2, 3]), enables the audible integration of ordinary (systems of) differential equations (ODEs) with initial values in realtime. The prefix &#39;Fb1&#39; refers to the class Fb1 for single sample feedback and feedforward, on which it depends [4]. Consequently, the numerical integration of ODE systems with a step width of one sample is possible with arbitrary block sizes of SC&#39;s audio engine. Fb1_ODE opens the possibility for immediate audio experiments with models from physics, electrical engineering, population dynamics, chemistry, etc., preferably those with oscillatory respectively quasi-oscillatory solutions or chaotic features. Designing new ODEs from scratch or altering respectively disturbing systems can also be interesting regarding the sounding results. Wrappers of Fb1_ODE include wellknown systems like Van der Pol, Duffing, Hopf, Mass- Spring-Damper, and Lorenz; users can interactively add other systems with the class Fb1_ODEdef. The modulation of ODE parameters, system time, and the feeding of additional audio signals into ODE systems are, amongst others, further options for unorthodox synthesis with differential equations.</p>",
"author": [
{
"family": "Daniel Mayer"
}
],
"id": "5038733",
"event-place": "Virtual",
"type": "paper-conference",
"event": "18th Sound and Music Computing Conference (SMC 2021)"
}
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