# Description of the program: lyap_k

The program estimates the largest Lyapunov exponent of a given scalar data set using the algorithm of Kantz.

## Usage:

lyap_k [Options]

Everything not being a valid option will be interpreted as a potential datafile name. Given no datafile at all, means read stdin. Also - means stdin

Possible options are:

Option | Description | Default
--- | --- | ---
-l# | number of data to be used | whole file
-x# | number of lines to be ignored | 0
-c# | column to be read | 1
-M# | maximal embedding dimension to use | 2
-m# | minimal embedding dimension to use | 2
-d# | delay to use | 1
-r# | minimal length scale to search neighbors | (data interval)/1000
-R# | maximal length scale to search neighbors | (data interval)/100
-## | number of length scales to use | 5
-n# | number of reference points to use | all
-s# | number of iterations in time | 50
-t# | 'theiler window' | 0
-o# | output file name | without file name: 'datafile'.lyap (or stdin.lyap if the data were read from stdin)
-V# | verbosity level 0: only panic messages 1: add input/output messages 2: add statistics for each iteration | 3
-h | show these options | none

## Description of the Output:

For each embedding dimension and each length scale the file contains a block of data consisting of 3 columns

1. The number of the iteration
2. The logarithm of the stretching factor (the slope is the Lyapunov exponent if it is a straight line)
3. The number of points for which a neighborhood with enough points was found

View the C-sources.

See also lyap_r.

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