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<!DOCTYPE MAN SYSTEM "../../manrev.dtd">
<MAN>
  <LANGUAGE>eng</LANGUAGE>
  <TITLE>artest</TITLE>
  <TYPE>Scilab Function</TYPE>
  <DATE>April 1993</DATE>
  <SHORT_DESCRIPTION name="artest"> arnold dynamical system</SHORT_DESCRIPTION>
  <CALLING_SEQUENCE>
    <CALLING_SEQUENCE_ITEM>artest(f_l,[odem,xdim,npts])  </CALLING_SEQUENCE_ITEM>
    <CALLING_SEQUENCE_ITEM>arnold(t,x)  </CALLING_SEQUENCE_ITEM>
    <CALLING_SEQUENCE_ITEM>iarf([a])  </CALLING_SEQUENCE_ITEM>
  </CALLING_SEQUENCE>
  <PARAM>
    <PARAM_INDENT>
      <PARAM_ITEM>
        <PARAM_NAME>f_l</PARAM_NAME>
        <PARAM_DESCRIPTION>
          <SP>: can be &quot;arnold&quot; or arnold. It is the name of the external for the arnold system. If  <VERB>f_l</VERB> is set to &quot;arnold&quot; a Fortran coded version of the arnold system where a(1:6)=1  will be used and if <VERB>f_l</VERB> is set to arnold a Scilab coded version will be used .  <VERB>arnold</VERB> is a Scilab macro coding the Arnold system. This macro is loaded when calling <VERB>artest</VERB>.</SP>
        </PARAM_DESCRIPTION>
      </PARAM_ITEM>
      <PARAM_ITEM>
        <PARAM_NAME>iarf</PARAM_NAME>
        <PARAM_DESCRIPTION>
          <SP>: is used to fix the values of <VERB>a</VERB> in the Scilab coded case. <VERB>a</VERB> is a vector of size 6.</SP>
        </PARAM_DESCRIPTION>
      </PARAM_ITEM>
      <PARAM_ITEM>
        <PARAM_NAME>odem,xdim,npts</PARAM_NAME>
        <PARAM_DESCRIPTION>
          <SP>: are optional arguments. Their meaning and syntax can be found in the <VERB>portr3d</VERB>  help</SP>
        </PARAM_DESCRIPTION>
      </PARAM_ITEM>
    </PARAM_INDENT>
  </PARAM>
  <DESCRIPTION>
    <P>
    A call to the function <VERB>artest()</VERB> will interactively 
    display a phase portrait of  a the following dynamical system :</P>
    <VERBATIM>
<![CDATA[
      ydot(1)=a(1)*cos(y(2)) +a(2)*sin(y(3))
      ydot(2)=a(3)*cos(y(3)) +a(4)*sin(y(1))
      ydot(3)=a(5)*cos(y(1)) +a(6)*sin(y(2))
   ]]>
    </VERBATIM>
  </DESCRIPTION>
  <SEE_ALSO>
    <SEE_ALSO_ITEM>
      <LINK>portr3d</LINK>
    </SEE_ALSO_ITEM>
    <SEE_ALSO_ITEM>
      <LINK>ode</LINK>
    </SEE_ALSO_ITEM>
    <SEE_ALSO_ITEM>
      <LINK>chaintest</LINK>
    </SEE_ALSO_ITEM>
    <SEE_ALSO_ITEM>
      <LINK>lotest</LINK>
    </SEE_ALSO_ITEM>
  </SEE_ALSO>
</MAN>
