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Re: Inverse of Interpolating Function?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg120400] Re: Inverse of Interpolating Function?
  • From: Jay Bee <jiri.bocan at gmail.com>
  • Date: Thu, 21 Jul 2011 06:54:12 -0400 (EDT)
  • References: <j06avh$nj8$1@smc.vnet.net>

On Jul 20, 11:34 am, gonzorascal <dj... at duke.edu> wrote:
> Hello All,
>
> I am working with an Interpolating Function of an oscillating solution (time series) to a differential equation.  I am trying to find the period and pulse width of the oscillation.  To do this I would like to have an inverse of my function y[t] (so I would have t[y]).  I realize this function would be multivalued (that's what I want to find the period).  I am not having success using Mathematica's InverseFunction[] or Reduce[] commands.  Does anyone have any experience or suggestions with this sort of thing (either finding Inverse Interpolating Functions or another method for period and pulse width)?  Thank you.
>
> -GR

So, when you will find out the period, compute sufficient number of
points with the help of this interpolation function, e.g., as a
Table[], change coordinates, and interpolate again... Of course, if
you know exact formula, worth using it...


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