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Re: Slow/jerky animations inside manipulate (more details)
*To*: mathgroup at smc.vnet.net
*Subject*: [mg100672] Re: Slow/jerky animations inside manipulate (more details)
*From*: dh <dh at metrohm.com>
*Date*: Wed, 10 Jun 2009 17:12:50 -0400 (EDT)
*References*: <h0nui5$b8s$1@smc.vnet.net>
Hi,
You have to distinguish between global and localized version of a
variable. Here I cleand up "tp" and "T1". After this the following runs
pretty smooth.
======================================
A = 1; De = 1; xe = 0; tp = 10;
Animate[
sols = NDSolve[{q'[t] == p[t],
p'[t] == 2 A De (Exp[-2 A (q[t] - xe)] - Exp[-A (q[t] - xe)]),
q[0] == q0, p[0] == p0}, {q, p}, {t, 0, 100}][[1]];
p1 = Graphics[{Point[{tp, Evaluate[q /. sols][tp]}]}];
p2 = Quiet@
Plot[Evaluate[q /. sols][T1], {T1, 0, tp},
PerformanceGoal -> "Speed"];
FIRSTplot = Show[p1, p2]
, {q0, .1, 1}, {p0, .1, 1}]
======================================
Daniel
Porscha Louise McRobbie wrote:
> As several people have kindly pointed out, my first post was a bit too
> vague (my first time with Mathgroup). I am adding more specific
> details here. Thanks!
>
> ------Original post: "Slow/jerky animations inside manipulate" ---------
> I have an Animate command (I'm using GraphicsRow to show two
> side-by-side synchronized animations) inside of Manipulate. The
> resulting animations play very fast and are jerky. I can adjust the
> play speed using AnimationRate, but it must be slowed down by a
> ridiculous amount in order to look smooth. I've tried adjusting the
> RefreshRate, as wellas making time a slider variable and animating
> from within the Manipulate control panel,both with little success.
> How can I create smooth animations, appropriate for class demonstrations?
> -------------------------------------------------------------------------
>
>
> -----Additional Comments-------------------------------------------------
> My plots are actually simple. I am, however, solving an ODE inside of the
> Manipulate/Animate commands. I've played around with the NDSolve
> options thinking it might make things faster, but again no success.
> Basically I just want two sliders to choose initial conditions for the
> ODEs, then animate the results.
>
> Inside Manipulate, I solve the following ODEs, where the initial
> conditions q0,p0 are the slider variables:
>
> sols = First@NDSolve[{q'[t] == p[t], p'[t] == 2 A De (Exp[-2 A (q[t] - xe)] -
> Exp[-A (q[t] - xe)]), q[0] == q0, p[0] == p0}, {q, p}, {t,0, 100}];
>
> Inside Animate, I have two plots (tp is the animation variable):
>
> 1. Plot solution q(tp) vs. tp, as well as a circle that moves along
> as the curve is being traced out:
>
> p1 = Graphics[{ Point[{tp, Evaluate[q[tp] /. sols]}]}];
> p2 = Quiet@Plot[Evaluate[q[T1] /. sols], {T1, 0, tp},
> PerformanceGoal->"Speed"];
> FIRSTplot = Show[p1, p2];
>
> 2. Plot a static background curve "Staticplot" (computed outside
> Animate), with a circle moving on it. The equation for the background
> curve is:
>
> f(q)=De(1+Exp[-2 A (q-xe)]-2 Exp[-A (q-xe)])
>
> The coordinates for Point below are {q,f(q)}.
>
> p7 = Graphics[{Point[{Evaluate[q[tp] /. sols],
> De (1 + Exp[-2 A (Evaluate[q[tp] /. sols] - xe)] -
> 2 Exp[-A (Evaluate[q[tp] /. sols] - xe)]) }] }];
> SECONDplot=Show[Staticplot,p7];
> -------------------------------------------------------------------------
> Thanks again for any help.
>
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