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Article #32

Re: system of ODEs and maximum likelihood

#32
From: Keith Briggs rba8 7088
Date: Mon, 26 Oct 1992 23:15
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Roque (oliveria@engin.umich.edu) asks:

> I don't have much details yet but I may do project
> involving the solution of a system of ODEs (40x40)
> whose coeffients are not known exactly. 
> One starts with a guess for the coeffiecients, one solves the
> system of ODEs then one recomputes the coefficients (perhaps
> using maximum likelihood) to match some experimental event, then
> one resolves the ODEs and so on.

See K. M. Briggs, E. and M. Baake and H. Bock:

 Fitting ordinary differential equations to chaotic time series.
 {\em Physical Review}\ {\bf A45}\ 5524 (1992)

and references therein.  The method will work also with non-chaotic data.

Keith Briggs.
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From: kbriggs@mundoe.maths.mu.OZ.AU (Keith Briggs rba8 7088)
Subject: Re: system of ODEs and maximum likelihood
Message-ID: <9230110.5763@mulga.cs.mu.OZ.AU>
Summary: fitting ODEs to data
Sender: news@cs.mu.OZ.AU
Organization: Computer Science, University of Melbourne, Australia
References: <5W#=3YB@engin.umich.edu>
Date: Mon, 26 Oct 1992 23:15:41 GMT
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