Help/UGens/Chaos/HenonN.html

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  24 <p class="p1"><b>HenonN<span class="Apple-tab-span">    </span><span class="Apple-tab-span">    </span>hénon map chaotic generator</b></p>
  25 <p class="p2"><br></p>
  26 <p class="p3"><b>HenonN.ar(freq, a, b, x0, x1, mul, add)</b></p>
  27 <p class="p2"><br></p>
  28 <p class="p3"><span class="Apple-tab-span">     </span><b>freq</b> - iteration frequency in Hertz</p>
  29 <p class="p3"><span class="Apple-tab-span">     </span><b>a, b</b> - equation variables</p>
  30 <p class="p3"><span class="Apple-tab-span">     </span><b>x0</b> - initial value of x</p>
  31 <p class="p3"><span class="Apple-tab-span">     </span><b>x1</b> - second value of x</p>
  32 <p class="p4"><br></p>
  33 <p class="p3">A non-interpolating sound generator based on the difference equation:</p>
  34 <p class="p2"><span class="Apple-tab-span">     </span></p>
  35 <p class="p3"><span class="Apple-tab-span">     </span>x<span class="s1"><sub>n+2</sub></span> = 1 - ax<span class="s1"><sub>n+1</sub><sup>2</sup></span> + bx<span class="s1"><sub>n</sub></span></p>
  36 <p class="p4"><span class="Apple-tab-span">     </span></p>
  37 <p class="p3">This equation was discovered by French astronomer Michel Hénon while studying the orbits of stars</p>
  38 <p class="p3">in globular clusters.</p>
  39 <p class="p4"><br></p>
  40 <p class="p4"><br></p>
  41 <p class="p5">// default initial params</p>
  42 <p class="p6">{ <span class="s2">HenonN</span>.ar(<span class="s2">MouseX</span>.kr(20, <span class="s2">SampleRate</span>.ir)) * 0.2 }.play(s);</p>
  43 <p class="p4"><br></p>
  44 <p class="p5">// mouse-control of params</p>
  45 <p class="p6">{ <span class="s2">HenonN</span>.ar(<span class="s2">SampleRate</span>.ir/4, <span class="s2">MouseX</span>.kr(1,1.4), <span class="s2">MouseY</span>.kr(0,0.3)) * 0.2 }.play(s);</p>
  46 <p class="p4"><br></p>
  47 <p class="p5">// randomly modulate params</p>
  48 <p class="p6">(</p>
  49 <p class="p6">{ <span class="s2">HenonN</span>.ar(</p>
  50 <p class="p7"><span class="s3"><span class="Apple-tab-span">    </span></span>SampleRate<span class="s3">.ir/8,<span class="Apple-converted-space"> </span></span></p>
  51 <p class="p6"><span class="Apple-tab-span">     </span><span class="s2">LFNoise2</span>.kr(1, 0.2, 1.2),<span class="Apple-converted-space"> </span></p>
  52 <p class="p6"><span class="Apple-tab-span">     </span><span class="s2">LFNoise2</span>.kr(1, 0.15, 0.15)</p>
  53 <p class="p6">) * 0.2 }.play(s);</p>
  54 <p class="p6">)</p>
  55 <p class="p4"><br></p>
  56 <p class="p5">// as a frequency control</p>
  57 <p class="p6">{ <span class="s2">SinOsc</span>.ar(<span class="s2">HenonN</span>.ar(40, <span class="s2">MouseX</span>.kr(1,1.4), <span class="s2">MouseY</span>.kr(0,0.3))*800+900)*0.4 }.play(s);</p>
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