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<?xml version="1.0" encoding="UTF-8"?>
<simulation xmds-version="2">
<testing>
<xsil_file name="lorenz.xsil" expected="lorenz_expected.xsil" absolute_tolerance="1e-4" relative_tolerance="1e-4" />
</testing>
<name>lorenz</name>
<author>Graham Dennis</author>
<description>
The Lorenz Attractor, an example of chaos.
</description>
<features>
<benchmark />
<globals>
<![CDATA[
double sigma = 10.0;
double b = 8.0/3.0;
double r = 28.0;
]]>
</globals>
</features>
<geometry>
<propagation_dimension> t </propagation_dimension>
</geometry>
<vector name="main" type="real">
<components>
x y z
</components>
<initialisation>
<![CDATA[
x = y = z = 1.0;
]]>
</initialisation>
</vector>
<sequence>
<integrate algorithm="ARK89" interval="20.0" steps="25000" tolerance="1e-7">
<samples>500</samples>
<operators>
<integration_vectors>main</integration_vectors>
<![CDATA[
dx_dt = sigma*(y-x);
dy_dt = r*x - y - x*z;
dz_dt = x*y - b*z;
]]>
</operators>
</integrate>
</sequence>
<output format="ascii" filename="lorenz.xsil">
<sampling_group initial_sample="yes">
<moments>xR yR zR</moments>
<dependencies>main</dependencies>
<![CDATA[
xR = x;
yR = y;
zR = z;
]]>
</sampling_group>
</output>
</simulation>
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