<?xml version="1.0" encoding="UTF-8"?>
<simulation xmds-version="2">
  <name>lorenz_minimal</name>
  
  <geometry>
    <propagation_dimension> t </propagation_dimension>
  </geometry>
  
  <vector name="position" type="real">
    <components>
      x y z
    </components>
    <initialisation>
      <![CDATA[
      x = y = z = 1.0;
      ]]>
    </initialisation>
  </vector>
  
  <sequence>
    <integrate algorithm="ARK89" interval="10.0" tolerance="1e-7">
      <samples>100</samples>
      <operators>
        <integration_vectors>position</integration_vectors>
        <![CDATA[
        dx_dt = 10.0*(y-x);
        dy_dt = 28.0*x - y - x*z;
        dz_dt = x*y - 8.0/3.0*z;
        ]]>
      </operators>
    </integrate>
  </sequence>
  
  <output>
    <sampling_group>
      <moments>xR yR zR</moments>
      <dependencies>position</dependencies>
      <![CDATA[
        xR = x;
        yR = y;
        zR = z;
      ]]>
    </sampling_group>
  </output>
</simulation>
