Description of the program: boxcount

This program estimates the Renyi entopy of Qth order using a partition of the phase space instead of using the Grassberger-Procaccia scheme. The program also can handle multivariate data, so that the phase space is build of the components of the time series plus a temporal embedding, if desired. I should mention that the memory requirement does not increase exponentially like 1/epsilonM but only like M*(length of series). So it can also be used for small epsilon and large M.
No finite sample corrections are implemented so far.

Usage:

boxcount [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 points to be used whole file
-x# number of lines to be ignored 0
-c# columns to be read 1,...,# of components
-d# delay for the delay vectors 1
-M# # of components, maximal embedding dimension 1,10
-Q# Order of the entropy 2.0
-R# maximal length scale whole data range
-r# minimal length scale (data range)/1000
-## number of epsilon values 20
-o[#] output file name 'datafile'.box (or if data were read from stdin: stdin.box)
-V# verbosity level
  0: only panic messages
  1: add input/output messages 		1
-h show these options none

Description of the Output:

The output file contains three columns for each dimension and for each epsilon value:
  1. epsilon
  2. Qth order entropy (HQ(dimension,epsilon))
  3. Qth order differential entropy ( HQ(dimension,epsilon)-HQ(dimension-1,epsilon))
The slope of the second line gives an estimate of DQ(m,epsilon).
View the C-source.
See also d2, c2naive, and c1
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