Re: question on periodic locations within logistic map

On 27 Nov 2003 08:59:27 -0800, Claus <[EMAIL PROTECTED]> wrote:
> Greetings,
> 
> I am looking for a parameter value that has as many plotted iterates
> as possible, but still is periodic...
> 
> Therefore, outside of the visible periodic windows in the logistic
> map, are there periodic vertical slices, or parameter values, beyond
> the critical point, or is the rest of it just chaos ?  If certain
> parameter values after say, 3.7, are periodic, not including the
> periodic windows, can anyone indicate some example parameter values ?

Yes, there are additional "periodic windows" but I do not
know their parameter values offhand.  I believe there is a period 3
window somewhere which in turn period-doubles bifurcations 3 - 6 - 12
-24 etc into chaos again. 

do a Lyapunov exponent estimation, sweeping parameters and look for
windows of exponent values which appear to be negative and investigate
further there.



> 
> Thanks,
> 
> Claus


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Matthew B. Kennel            [EMAIL PROTECTED]
Asst. Research Scientist         858-822-2012
Institute For Nonlinear Science, UC San Diego
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