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<html><head><title>Corelation integral C2</title></head><body bgcolor="#ffffff"><h3>Correlation integral C2</h3><font color=blue><tt>c2 -d# -M# -t# -n# [-N# -## -r# -R# -o </tt><em>outfile</em><tt> -l# -x# -c# -V# -h] </tt><em> file(s)</em></font><blockquote> <br> <font color=blue><tt> -d </tt></font>delay <br> <font color=blue><tt> -M </tt></font>maximal embedding dimension <br> <font color=blue><tt> -t </tt></font>minimal time separation <br> <font color=blue><tt> -n </tt></font>minimal number of center points <br> <font color=blue><tt> -N </tt></font>maximal number of pairs (1000) <br> <font color=blue><tt> -# </tt></font>resolution, values per octave (2) <br> <font color=blue><tt> -r </tt></font>minimal length to be probed (as long as pairs found) <br> <font color=blue><tt> -R </tt></font>maximal length to be probed (xmax-xmin) <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>column to be read (1 or <font color=blue><em>file</em></font>,#) <br> <font color=blue><tt> -o </tt></font>output file name, just <font color=blue><tt> -o </tt></font>means <font color=blue><em>file</em></font><font color=blue><tt>_c2</tt></font> <br> <font color=blue><tt> -V </tt></font>verbosity level (0 = only fatal errors) <br> <font color=blue><tt> -h </tt></font>show this message</blockquote>Determines the correlation sums of scalar time series in <font color=blue><em>file(s)</em></font>. Foreach <font color=blue><em>file</em></font>, a file named<font color=blue><em>file</em><tt>_c2</tt></font> is produced,containing the distance and the correlation sum as its two columns.This file is re-written every time a new length scale is finished. Thus you mayview intermediate results while th eprogram is still running.Fast neighbour search isapplied. <p><font color=red><b>Note:</b></font> You will probably use one of the auxilliary programs<a href="c2d.html">c2d</a>, <a href="c2t.html">c2t</a>, or <ahref="c2g.html">c2g</a>to process the output further. See also example below.<p><font color=red><b>Note:</b></font> If all length scales and all centre points are askedfor, the program is slower than the naive approach, <a href="c2naive.html">c2naive</a>.<p><font color=red><b>Note:</b></font> If the data is coarsely discretised, the program may beconfused by many identical pairs. Since discretisation causes artifacts in thecorrelation sum anyway, add uniform noise of the size of a discretisation stepto the data first, e.g. using <a href="addnoise.html">addnoise</a>.<hr>See also <a href="../dresden/d2.html">d2</a><hr><h3>Usage example</h3>Try also just running: <font color=blue><tt>gnuplot c2.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>c2 -M10 -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_c2', 1.2</tt></font></pre><p><IMG SRC="c2.gif" alt="correlation sum"><p><a href="../contents.html">Table of Contents</a> * <a href="../../index.html" target="_top">TISEAN home</a></body></html>
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