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From: ajayshah@alhena.usc.edu (Ajay Shah)
Newsgroups: sci.math.num-analysis,comp.theory.dynamic-sys,sci.math
Subject: ``Generalised Power Function'' question
Message-ID: <32169@usc>
Date: 22 Apr 91 21:19:45 GMT
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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.

-- 
_______________________________________________________________________________
Ajay Shah, (213)734-3930, ajayshah@usc.edu
                             The more things change, the more they stay insane.
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