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Re: Animate parametric plot of two lists?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg132313] Re: Animate parametric plot of two lists?
  • From: lyubov78 at gmail.com
  • Date: Sat, 8 Feb 2014 04:01:49 -0500 (EST)
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  • References: <h31upo$bss$1@smc.vnet.net>

Hola!

Dear Porscha!

You wrote "When I have explicit formulas for two functions of time, it's simple 
to animate the parametric plot of them by using ParametricPlot inside 
Animate."
But I cannot manage it, Mathematica always gives error when I want to animate the solution of differential equation, which depends on p and the ParametricPlot which depends on p also:

Animate[ParametricPlot[{Evaluate[{y[p], x[p]} /. sol = 
     NDSolve[...some big equation...], x[1] == -1, 
       y[1] == -1}, {y[p], x[p]}, {p, 1, Tp}]]}, {p, 1, Tp}], {Tp, 1, 
  100}] 


Thank you!!!

On Wednesday, July 8, 2009 1:09:44 PM UTC+2, Porscha Louise McRobbie wrote:
> Hello,
> 
> When I have explicit formulas for two functions of time, it's simple 
> to animate the parametric plot of them by using ParametricPlot inside 
> Animate.
> 
> I'd like to create a similar animation now, but using two lists of 
> numbers. Apparently there is  no function such as ListParametricPlot.
> 
> Below a roundabout way I found (I want to show both a dashed line and 
> a point tracing out the curve in time). Is there a better way to do 
> this? I'd like to be able to include many more frames, and this method 
> seems inefficient.
> 
> Any suggestion/help is appreciated.
> 
> Porscha
> 
> 
> 
> (*Animate a parametric plot from two lists*)
> In[1]:= f[t_] := Cos[t]
> In[2]:= g[t_] := Sin[t]
> 
> In[27]:= list1 = Table[f[t], {t, 0, 2 Pi, .1}];
> In[28]:= list2 = Table[g[t], {t, 0, 2 Pi, .1}];
> 
> In[29]:= n = Length[list1];
> In[30]:= plotdat = Thread[{list1, list2}];
> In[31]:= frame = ConstantArray[0.0, n];
> 
> In[32]:= Do[
>   frame[[j]] =
>    Show[ListLinePlot[plotdat[[1 ;; j]], PlotStyle -> {Red, Dashed},
>      PlotRange -> {{-1.2, 1.2}, {-1.2, 1.2}}],
>     ListPlot[plotdat[[1 ;; j]],
>      PlotRange -> {{-1.2, 1.2}, {-1.2, 1.2}},
>      PlotMarkers -> {Automatic, 12}]], {j, 1, n}]
> 
> In[33]:= ListAnimate[frame]



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