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  • Committer: Bazaar Package Importer
  • Author(s): Torsten Werner
  • Date: 2005-01-09 22:58:21 UTC
  • mfrom: (1.1.1 upstream)
  • Revision ID: james.westby@ubuntu.com-20050109225821-473xr8vhgugxxx5j
Tags: 3.0-12
changed configure.in to build scilab's own malloc.o, closes: #255869

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<?xml version="1.0" encoding="ISO-8859-1" standalone="no"?>
 
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<!DOCTYPE MAN SYSTEM "../../manrev.dtd">
 
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<MAN>
 
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  <LANGUAGE>eng</LANGUAGE>
 
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  <TITLE>portrait</TITLE>
 
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  <TYPE>Scilab Function</TYPE>
 
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  <DATE>April 1993</DATE>
 
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  <SHORT_DESCRIPTION name="portrait"> 2 dimensional phase portrait.  </SHORT_DESCRIPTION>
 
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  <CALLING_SEQUENCE>
 
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    <CALLING_SEQUENCE_ITEM>[]=portrait(f,[odem,xdim,npts,pinit])  </CALLING_SEQUENCE_ITEM>
 
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  </CALLING_SEQUENCE>
 
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  <PARAM>
 
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    <PARAM_INDENT>
 
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      <PARAM_ITEM>
 
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        <PARAM_NAME>f</PARAM_NAME>
 
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        <PARAM_DESCRIPTION>
 
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          <SP>: a Scilab external which gives the field of the dynamical system. Hence  it can be a macro name which computes the field at time t and point x [y]=f(t,x,[u]) or a list list(f1,u1) where f1 is a macro of type [y]=f1(t,x,u) or a character string. The macro can be used to simulate a continuous or discrete system and in case  of discrete system the second parameter must be set to 'discrete'</SP>
 
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        </PARAM_DESCRIPTION>
 
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      </PARAM_ITEM>
 
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      <PARAM_ITEM>
 
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        <PARAM_NAME>options</PARAM_NAME>
 
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        <PARAM_DESCRIPTION>
 
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          <SP>: The other parameters are optional. If omitted they will be asked interactively</SP>
 
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          <PARAM_INDENT>
 
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            <PARAM_ITEM>
 
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              <PARAM_NAME>odem</PARAM_NAME>
 
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              <PARAM_DESCRIPTION>
 
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                <SP>: gives the integration method to use. The value &quot;default&quot; can be used,  otherwise see ode for a complete set of possibilities</SP>
 
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              </PARAM_DESCRIPTION>
 
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            </PARAM_ITEM>
 
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            <PARAM_ITEM>
 
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              <PARAM_NAME>npts</PARAM_NAME>
 
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              <PARAM_DESCRIPTION>
 
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                <SP>:  a vector of size (2,10) [number-of-points,step] gives the step
 
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    for integration  and the number of requested points. The solution
 
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    will be calculated and drawn  for
 
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    time=0:step:(step*[number-of-points])</SP>
 
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              </PARAM_DESCRIPTION>
 
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            </PARAM_ITEM>
 
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            <PARAM_ITEM>
 
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              <PARAM_NAME>xdim</PARAM_NAME>
 
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              <PARAM_DESCRIPTION>
 
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                <SP>: [xmin,xmax,ymin,ymax,zmin,zmax] the boundaries of the graphic frame.</SP>
 
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              </PARAM_DESCRIPTION>
 
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            </PARAM_ITEM>
 
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            <PARAM_ITEM>
 
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              <PARAM_NAME>pinit</PARAM_NAME>
 
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              <PARAM_DESCRIPTION>
 
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                <SP>: initial values for integration. A set of initial points can be given in a matrix</SP>
 
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                <VERBATIM>
 
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<![CDATA[
 
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      pinit = [x0(1), x1(1),...., xn(1)
 
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               x0(2), x1(2),...., xn(2)
 
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               x0(3), x1(3),...., xn(3)].
 
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   ]]>
 
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                </VERBATIM>
 
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              </PARAM_DESCRIPTION>
 
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            </PARAM_ITEM>
 
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          </PARAM_INDENT>
 
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        </PARAM_DESCRIPTION>
 
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      </PARAM_ITEM>
 
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    </PARAM_INDENT>
 
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  </PARAM>
 
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  <DESCRIPTION>
 
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    <P>
 
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    Interactive integration and display of a 2 dimensional phase portrait
 
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    of a dynamical system  dx/dt=f(t,x,[u]) (where u is an optional parameter )</P>
 
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  </DESCRIPTION>
 
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  <EXAMPLE>
 
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<![CDATA[
 
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a=rand(2,2)
 
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deff('[ydot]=l_s(t,y)','ydot=a*y')
 
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portrait(l_s)
 
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 ]]>
 
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  </EXAMPLE>
 
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  <SEE_ALSO>
 
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    <SEE_ALSO_ITEM>
 
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      <LINK>ode</LINK>
 
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    </SEE_ALSO_ITEM>
 
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  </SEE_ALSO>
 
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</MAN>