Help/UGens/Chaos/StandardN.html

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  23 <p class="p1"><b>StandardN<span class="Apple-tab-span"> </span><span class="Apple-tab-span">    </span>standard map chaotic generator</b></p>
  24 <p class="p2"><br></p>
  25 <p class="p3"><b>StandardN.ar(freq, k, xi, yi, mul, add)</b></p>
  26 <p class="p2"><br></p>
  27 <p class="p3"><span class="Apple-tab-span">     </span><b>freq</b> - iteration frequency in Hertz</p>
  28 <p class="p3"><span class="Apple-tab-span">     </span><b>k</b> - perturbation amount</p>
  29 <p class="p3"><span class="Apple-tab-span">     </span><b>xi</b> - initial value of x</p>
  30 <p class="p3"><span class="Apple-tab-span">     </span><b>yi</b> - initial value of y</p>
  31 <p class="p4"><br></p>
  32 <p class="p3">A non-interpolating sound generator based on<span class="s1"> </span>the difference equations:</p>
  33 <p class="p2"><span class="Apple-tab-span">     </span></p>
  34 <p class="p3"><span class="Apple-tab-span">     </span>x<span class="s2"><sub>n+1</sub></span> = (x<span class="s2"><sub>n</sub></span> + y<span class="s2"><sub>n+1</sub></span>) % 2pi</p>
  35 <p class="p3"><span class="Apple-tab-span">     </span>y<span class="s2"><sub>n+1</sub></span> = (y<span class="s2"><sub>n</sub></span> + ksin(x<span class="s2"><sub>n</sub></span>)) % 2pi</p>
  36 <p class="p4"><br></p>
  37 <p class="p3">The standard map is an area preserving map of a cylinder discovered by the plasma<span class="Apple-converted-space"> </span></p>
  38 <p class="p3">physicist Boris Chirikov.</p>
  39 <p class="p3">.</p>
  40 <p class="p5">// vary frequency</p>
  41 <p class="p6">{ <span class="s3">StandardN</span>.ar(<span class="s3">MouseX</span>.kr(20, <span class="s3">SampleRate</span>.ir)) * 0.3 }.play(s);</p>
  42 <p class="p4"><br></p>
  43 <p class="p5">// mouse-controlled param</p>
  44 <p class="p6">{ <span class="s3">StandardN</span>.ar(<span class="s3">SampleRate</span>.ir/2, <span class="s3">MouseX</span>.kr(0.9,4)) * 0.3 }.play(s);</p>
  45 <p class="p4"><br></p>
  46 <p class="p5">// as a frequency control</p>
  47 <p class="p6">{ <span class="s3">SinOsc</span>.ar(<span class="s3">StandardN</span>.ar(40, <span class="s3">MouseX</span>.kr(0.9,4))*800+900)*0.4 }.play(s);</p>
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