Re: Chaos, Measureing correlation dimension from experimental data.

Lou Pecora <pecora@xxxxxxxxxxxxxxxxxx> wrote:
> 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.

Having read that
I would like to ask:
has anyone considered the question of error estimate of the quantities
(like Lyapunov exponents, dimension etc.)
evaluated from experimental chaotic time series?

--
Pavel Pokorny
Math Dept, Prague Institute of Chemical Technology
http://www.vscht.cz/mat/Pavel.Pokorny
.

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