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

Daniel Mayer


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{
  "inLanguage": {
    "alternateName": "eng", 
    "@type": "Language", 
    "name": "English"
  }, 
  "description": "<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>", 
  "license": "https://creativecommons.org/licenses/by/4.0/legalcode", 
  "creator": [
    {
      "affiliation": "Institute of Electronic Music and Acoustics (IEM), University of Music and Performing Arts, Graz, Austria", 
      "@type": "Person", 
      "name": "Daniel Mayer"
    }
  ], 
  "headline": "Fb1_ODE \u2013 an Interface for Synthesis and Sound Processing with Ordinary Differential Equations in SuperCollider", 
  "image": "https://zenodo.org/static/img/logos/zenodo-gradient-round.svg", 
  "datePublished": "2021-06-28", 
  "url": "https://zenodo.org/record/5038733", 
  "@type": "ScholarlyArticle", 
  "@context": "https://schema.org/", 
  "identifier": "https://doi.org/10.5281/zenodo.5038733", 
  "@id": "https://doi.org/10.5281/zenodo.5038733", 
  "workFeatured": {
    "url": "https://smc2021conference.org/", 
    "alternateName": "SMC 2021", 
    "location": "Virtual", 
    "@type": "Event", 
    "name": "18th Sound and Music Computing Conference"
  }, 
  "name": "Fb1_ODE \u2013 an Interface for Synthesis and Sound Processing with Ordinary Differential Equations in SuperCollider"
}
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