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Re: a' vs a and a vs a' looks different in streamplot

  • To: mathgroup at smc.vnet.net
  • Subject: [mg99659] Re: a' vs a and a vs a' looks different in streamplot
  • From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
  • Date: Sun, 10 May 2009 05:18:07 -0400 (EDT)
  • References: <gu3bgr$fd$1@smc.vnet.net>

Hi,

the vector field is rotated but not {a,b} ..

Regards
   Jens

sean_incali at yahoo.com wrote:
> Consider the following.
> 
> a'[t]= -a[t] -kr -b[t]
> 
> Let us plot the vectorfields of a' vs a. (or a vs a' for that matter)
> as follows.
> 
> Manipulate[{StreamPlot[{a, -a - kr b}, {a, -10, 10}, {b, -10, 10},
>    FrameLabel -> {a, a'}],
>   StreamPlot[{-a - kr b, a}, {a, -10, 10}, {b, -10, 10},
>    FrameLabel -> {a', a}]}, {kr, 0, 10}]
> 
> Why do the plots of " a vs. a' " and " a' vs. a " look so different?
> They aren't just 90' rotation of each other.
> 
> Shouldn't they be?
> 
> Thanks for any insight.
> 
> Sean
> 


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