June 28, 2021 Conference paper Open Access

Daniel Mayer

MARC21 XML Export

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    <subfield code="u">Institute of Electronic Music and Acoustics (IEM), University of Music and Performing Arts, Graz, Austria</subfield>
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    <subfield code="a">Fb1_ODE – an Interface for Synthesis and Sound Processing with Ordinary Differential Equations in SuperCollider</subfield>
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    <subfield code="a">&lt;p&gt;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 &amp;#39;Fb1&amp;#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&amp;#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.&lt;/p&gt;</subfield>
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