File: SpruceBudworm.html

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<p class="p1"><b>SpruceBudworm<span class="Apple-tab-span">	</span><span class="Apple-tab-span">	</span><span class="Apple-tab-span">	</span>Spruce bud worm model equations</b></p>
<p class="p2"><br></p>
<p class="p3"><b>SpruceBudworm.ar( reset=0, rate=0.1, k1= 20, k2= 1.5, alpha = 0.1, beta = 10.1, mu=0.3, rho=10.1, initx=0.9,inity=0.1,mul, add)</b></p>
<p class="p4"><br></p>
<p class="p3">One of a number found in A Brief History of Oscillators and Hair Styles of European Men AASU Math/CS Colloquium, April 2002.<span class="Apple-converted-space"> </span></p>
<p class="p4"><br></p>
<p class="p3">Euler ODE solver implementation of a model of foliage and budworm density in Canadian forests ( a logistic model + predation). <span class="Apple-converted-space"> </span></p>
<p class="p4"><br></p>
<p class="p3">x' = k1 x (1-x) - mu*y</p>
<p class="p3">y' =<span class="Apple-converted-space">  </span>k2 *y * (1 - (y/alpha*x)) - (rho * (y**2/(beta**2 * x**2 + y**2)))</p>
<p class="p4"><br></p>
<p class="p3">All inputs can have .kr rate UGens plugged in.</p>
<p class="p4"><br></p>
<p class="p3">Nonlinear oscillators can blow up, treat with caution.</p>
<p class="p4"><br></p>
<p class="p3"><b>reset</b>- If &gt; 0.0, restart with new initial conditions sampled from initx, inity</p>
<p class="p3"><b>rate</b>- update rate for a sample step</p>
<p class="p3"><b>k1</b>- equation constant</p>
<p class="p3"><b>k2</b>- equation constant</p>
<p class="p3"><b>alpha</b>- equation constant</p>
<p class="p3"><b>beta</b>- equation constant</p>
<p class="p3"><b>mu</b>- equation constant</p>
<p class="p3"><b>rho</b>- equation constant</p>
<p class="p3"><b>initx</b>- reset value for x</p>
<p class="p3"><b>inity</b>- reset value for y</p>
<p class="p4"><br></p>
<p class="p5"><br></p>
<p class="p6">//listen to x and y output with defaults</p>
<p class="p7">{<span class="s1">Out</span>.ar(0,0.5*<span class="s1">SpruceBudworm</span>.ar(0.0))}.play</p>
<p class="p5"><br></p>
<p class="p5"><br></p>
<p class="p6">//be careful with rate range, can blow-up easily here, or just not sound</p>
<p class="p7">{<span class="s1">Out</span>.ar(0,0.5*<span class="s1">SpruceBudworm</span>.ar(0.0,<span class="s1">MouseX</span>.kr(0.09,0.1)))}.play</p>
<p class="p5"><br></p>
<p class="p5"><br></p>
<p class="p7">{<span class="s1">Out</span>.ar(0,0.5*<span class="s1">SpruceBudworm</span>.ar(0.0,,<span class="s1">MouseX</span>.kr(0.09,0.1),<span class="s1">MouseY</span>.kr(25.0,28.0)))}.play</p>
<p class="p5"><br></p>
<p class="p5"><br></p>
<p class="p7">{<span class="s1">Out</span>.ar(0,0.5*<span class="s1">SpruceBudworm</span>.ar(<span class="s1">Impulse</span>.kr(<span class="s1">MouseY</span>.kr(1,50,<span class="s2">'exponential'</span>)),0.1))}.play</p>
<p class="p5"><br></p>
<p class="p5"><br></p>
<p class="p5"><br></p>
<p class="p7">{<span class="s1">Out</span>.ar(0,<span class="s1">Pan2</span>.ar(0.5*(<span class="s1">SpruceBudworm</span>.ar(<span class="s1">Impulse</span>.kr(<span class="s1">MouseX</span>.kr(1,50)),0.1,24.8,0.5,initx:<span class="s1">MouseY</span>.kr(0.2,1.2))[0])))}.play</p>
<p class="p5"><br></p>
<p class="p5"><br></p>
<p class="p7">{10.0*(<span class="s1">SpruceBudworm</span>.ar(<span class="s1">Impulse</span>.kr(<span class="s1">Line</span>.kr(1,200,0.1)),0.1,19.8,0.5,initx:0.6)[0]-1.0)}.plot(0.1)</p>
<p class="p5"><br></p>
<p class="p5"><br></p>
<p class="p7">{10.0*(<span class="s1">SpruceBudworm</span>.ar(<span class="s1">Impulse</span>.kr(<span class="s1">MouseX</span>.kr(1,200)),0.1,19.8,0.5,initx:0.6)[0]-1.0)}.play</p>
<p class="p5"><br></p>
<p class="p5"><br></p>
<p class="p7">{10.0*(<span class="s1">SpruceBudworm</span>.ar(<span class="s1">Impulse</span>.kr(<span class="s1">MouseX</span>.kr(1,200)),0.1,<span class="s1">MouseY</span>.kr(19,28),0.5,initx:0.6)[0]-1.0)}.play</p>
<p class="p5"><br></p>
<p class="p5"><br></p>
<p class="p5"><br></p>
<p class="p5"><br></p>
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