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

  • To: mathgroup at smc.vnet.net
  • Subject: [mg99627] a' vs a and a vs a' looks different in streamplot
  • From: sean_incali at yahoo.com
  • Date: Sat, 9 May 2009 03:31:46 -0400 (EDT)

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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