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