June 28, 2021 Conference paper Open Access

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)"
}