In article <v01510100af73f7f671f6@[192.73.4.125]>, "Paul M. Schlosser"
<schlosser at ciit.org> writes
>>>From: Herbert M Sauro <HSauro at fssc.demon.co.uk>
>>Subject: Poincare sections
>>Date: Thu, 10 Apr 1997 22:42:23 +0100
>>>>I'm not an expert nor a mathematician but could someone explain to me
>>how one should go about (in practical terms) contructing a Poincare
>>section for a system which does not have a natural periodicity (e.g an
>>externally applied periodic forcing function)?
>>Just because it doesn't have a periodic forcing function *does not*
>mean that it doesn't have a natural periodicity. A 2-d, linear ODE
>with one eigenvalue on the imaginary axis and the other one being
>zero has such a property.
Agreed, but what if I don't know before hand what the frequency is?
>>>I have read that one has to put up a n-1 dimensional hyperplane across
>>the flows and then identify the places on the plane where trajectories
>>cross. How does one do this in a practical sense?
>>Yes, that's correct. I'll forward your question to my colleague in the
Thanks!
>Math Dept. at NCSU who works on dynmaical systems. (We're working on
>a model of the menstrual cycle.)
Where's your funding coming from for this one!?
>-Paul
Herbert
--
Herbert M Sauro
email: HSauro at fssc.demon.co.uk
Telephone: 01974 282428
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