c1.html
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<head><title>Fixed mass estimation of D1</title></head>
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<h3>Fixed mass estimation of C1 (information dimension)</h3>
<font color=blue><tt>c1 <font color=red>-d# -m# -M# -t# -n#</font> [-## -K# -o </tt><em>outfile</em><tt> -l# -x# -c# -V# -h] </tt><em> file</em>
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<blockquote>
<br> <font color=red><tt> -d </tt></font>delay
<br> <font color=red><tt> -m </tt></font>minimal embedding dimension
<br> <font color=red><tt> -M </tt></font>maximal embedding dimension (at least 2)
<br> <font color=red><tt> -t </tt></font>minimal time separation
<br> <font color=red><tt> -n </tt></font>minimal number of center points
<br> <font color=blue><tt> -# </tt></font>resolution, values per octave (2)
<br> <font color=blue><tt> -K </tt></font>maximal number of neighbours (100)
<br> <font color=blue><tt> -l </tt></font>number of values to be read (all)
<br> <font color=blue><tt> -x </tt></font>number of values to be skipped (0)
<br> <font color=blue><tt> -c </tt></font><a href="../general.html#column" tppabs="http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.0/docs/general.html#column">column to be read</a> (1 or <font color=blue><em>file</em></font>,#)
<br> <font color=blue><tt> -o </tt></font><a href="../general.html#outfile" tppabs="http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.0/docs/general.html#outfile">output file name</a>, just <font color=blue><tt> -o </tt></font>means <font color=blue><em>file</em></font><font color=blue><tt>_c1</tt></font>
<br> <font color=blue><tt> -V </tt></font><a href="../general.html#verbosity" tppabs="http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.0/docs/general.html#verbosity">verbosity level</a> (0 = only fatal errors)
<br> <font color=blue><tt> -h </tt></font>show this message
</blockquote>
Computes curves for the fixed mass computation of the <a href="../chaospaper/node33.html" tppabs="http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.0/docs/chaospaper/node33.html">information dimension</a>.
The output is written to a
file named <font color=blue><em>file</em><tt>_c1</tt></font>,
containing as two columns the
necessary radius and the `mass'. Although the `mass' is the independent
quantity here, this is to conform with the output of <a
href="c2naive.html" tppabs="http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.0/docs/wuppertal/c2naive.html">c2naive</a> and <a href="../dresden/d2.html" tppabs="http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.0/docs/dresden/d2.html">d2</a>.
<p><font color=red><b>Note:</b></font>
You will probably use the auxiliary programs
<a href="c2d.html" tppabs="http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.0/docs/wuppertal/c2d.html">c2d</a> or <a href="c2t.html" tppabs="http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.0/docs/wuppertal/c2t.html">c2t</a>
to process the output further. The formula used for the Gaussian kernel
correlation sum does not apply to the information dimension.
See also the example below.
<p>
<hr>
<h3>Usage example</h3>
Try also just running: <font color=blue><tt>gnuplot c1.gnu</tt></font> in the
<font color=blue><tt>examples</tt></font> directory.
<p>
<pre>
> <font color=blue><tt>henon -l10000 > data</tt></font>
> <font color=blue><tt>c1 -m2 -M6 -d1 -t50 -n500 data </tt></font>
gnuplot> <font color=blue><tt>set logscale x</tt></font>
gnuplot> <font color=blue><tt>set yrange [0:3]</tt></font>
gnuplot> <font color=blue><tt>plot '< c2d -a2 data_c1', 1.2 </tt></font>
</pre>
<p>
<IMG SRC="c1.gif" tppabs="http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.0/docs/wuppertal/c1.gif" alt="correlation sum">
<p>
<a href="../contents.html" tppabs="http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.0/docs/contents.html">Table of Contents</a> * <a href="../../index.html" tppabs="http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.0/index.html" target="_top">TISEAN home</a>
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