ajayshah@alhena.usc.edu (Ajay Shah) (04/23/91)
I need to analyse the dynamics of this system:
f(x) = c * ((x - b_1)^a_1) * ((b_2 - x)^a_2)
The parameters are supposed to be restricted to the ranges:
c > 0
a_1, a_2 > -1
0 < b_1 < b_2
I can't seem to find sensible parameter values which lead to
function values which don't blow up. I start at x_0 = 0.25 (say)
and chug the function through a loop like this:
x := x_0;
for i = 1 to 1000 do
x := f(x);
After this, I draw pictures of various things. Trouble is: with
this system, all the parameter values I've tried lead to the
system blowing up before a thousand iterations in this loop.
Thanks,
-ans.
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Ajay Shah, (213)734-3930, ajayshah@usc.edu
The more things change, the more they stay insane.
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