lyap_spec.html
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lyap_spec
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<h1 align=center>Description of the program: <font color=Blue>lyap_spec
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This program estimates the whole spectrum of Lyapunov exponents for a
given scalar time series. Whole spectrum means: If the embedding
dimension is d than d exponents will be determined. The method is
based on the work of <a href="../chaospaper/citation.html#sasa" tppabs="http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.0/docs/chaospaper/citation.html#sasa">Sano and Sawada</a>.
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<h2 align=center>Usage:</h2>
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<font color=Red>lyap_spec [Options]</font>
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Everything not being a valid option will be interpreted as a potential datafile name. Given no datafile at all, means read stdin. Also <font color=Red>-</font> means stdin
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Possible options are:
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<table border=2>
<tr>
<th>Option
<th>Description
<th>Default
</tr>
<tr>
<th>-l#
<td>number of points to use
<td>whole file
</tr>
<tr>
<th>-x#
<td>number of lines to be ignored
<td>0
</tr>
<tr>
<th>-c#
<td><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>
<td>1
</tr>
<tr>
<th>-m#
<td>embedding dimension (and number of exponents to estimate)
<td>2
</tr>
<tr>
<th>-d#
<td>delay for the delay vectors
<td>1
</tr>
<tr>
<th>-r#
<td>initial size of the neighborhoods<br>
is dynamically changed during the run
<td>(data interval)/1000
</tr>
<tr>
<th>-f#
<td>factor to increase the size of the neighborhood<br>
if not enough neighbors were found
<td>1.2
</tr>
<tr>
<th>-k#
<td>number of neighbors to use (this version uses exactly the number<br>
of neighbors specified. If found more, only the # nearest will be
used)
<td>30
</tr>
<tr>
<th>-n#
<td>number of iterations
<td>number of points
</tr>
<tr>
<th>-I
<td>invert the order of the time series.<br>
Is supposed to help finding spurious exponents.
<td>no inversion
</tr>
<tr>
<th>-o#
<td><a href="../general.html#outfile" tppabs="http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.0/docs/general.html#outfile">output file name</a>
<td>'datafile'.lyaps<br>
(or stdin.lyaps if data were read from stdin)<br>
if no -o is given stdout is used
</tr>
<tr>
<th>-V#
<td><a href="../general.html#verbosity" tppabs="http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.0/docs/general.html#verbosity">verbosity level</a><br>
0: only panic messages<br>
1: add input/output messages
<td>1
</tr>
<tr>
<th>-h
<td>show these options
<td>none
</tr>
</table>
</center>
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<h2 align=center>Description of the Output:</h2>
The output consists of <font color=blue>m+1</font> columns. The first
one shows the actual iteration, the next <font color=blue>m</font>
ones the estimates of the Lyapunov exponents in decreasing order. The
last three lines show the average forecast error of the local linear
model, the average neighborhood size used for fitting the model and
the last one the estimated Kaplan-Yorke dimension.<br>
Output is written every 10 seconds (real time), approximately.
<hr>
View the <a href="../../source_c/lyap_spec.c" tppabs="http://www.mpipks-dresden.mpg.de/~tisean/TISEAN_2.0/source_c/lyap_spec.c"> C-sources</a>.
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<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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