Re: Chaos, Measureing correlation dimension from experimental data.
- From: Lou Pecora <pecora@xxxxxxxxxxxxxxxxxx>
- Date: Mon, 04 Apr 2005 10:50:44 -0400
In article <d2qghm$7eq$1@xxxxxxxxxxxxxxxx>,
"Tal Carmon" <ta_l@xxxxxxxxxxx> wrote:
> Hello,
> I have a chaotic experimental system described by 4 differential equations.
> I am measuring the continuous time dynamics of 2 parameters.
>
> ***Can any of you direct me to a recipe(\algorithm\calculator) that starts
> with the experimental measurement and ends with correlation dimension and
> embedded dimension of my system?
>
> Thanks
> Tal
You might want to try the TISEAN package from Schreiber and Kantz
(http://ls11-www.cs.uni-dortmund.de/people/hermes/NLDdocs/docs/). You
should see their book on Nonlinear time series analysis.
Having said that I will give my usual warning that unless you know a lot
about your system and are rather sure of it's intrinsic dimensionality
and time scales you can easily get garbage from any code. Just
inputting data will certainly give you numerical answers, but you'll
have no way of knowing if they make sense or not.
Treating code packages as black boxes is still dangerous in nonlinear
science. The best results are from people who understand the underlying
issues and write AND test their own code.
That's not a knock against TISEAN. It's true of any nonlinear numerical
package.
-- Lou Pecora (my views are my own)
.
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