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Re: Re: Re: directionfields from StreamPlot

Just to clarify, Presentations isn't a second package; it is the  
up-to-date DrawGraphics.

You wouldn't need to buy both.


On Mon, 08 Jun 2009 01:06:52 -0500, Murray Eisenberg  
<murray at> wrote:

> At the end of your message (below), you ask about visualizing Poincare
> maps. I recommend you look at Gianluca Gorni's notebook PoincareMaps.nb
> (which includes the code for a corresponding package). There's a version
> for old versions of Mathematica at Gorni's web site:
> I've done much of the revision of that notebook so that it will work
> with Mathematica 7, but there's still some work to do about which I've
> written directly to Prof. Gorni. If you're interested, I can send you a
> copy of what I have so far.
> However, to run Gorni's functions, you'll also need a copy of David
> Park's non-free but marvelous and useful Presentations package, which
> handles much of the underlying graphics.  You can obtain the package
> from Park's site:
> The posted copy of Gorni's package uses Park's older DrawGraphics
> package, which like Presentations is not free and is available from the
> same site of David's.
> sean_incali at wrote:
>> k1 and k2 are pseudo first order reaction rate constants. It can range
>> from 10^-3 to 10^7 or so. (for diffusion limited process)  h range
>> from 0 to 1.
>> The [original] system kinda simplified... The system below  
>> behaves a bit
>> more interestingly.  (Let's say...k1=3, k2=7, t=50 and then...)
>> Manipulate[
>>  StreamPlot[{va - k1 (t^-h) a - k2 ( t^-h ) b,  k1 (t^-h ) a - db},
>> {a, -10, 10}, {b, -10, 10}], {k1, 0.01,10}, {k2, 0.01, 10}, {t, 0.1,
>> 50}, {h, 0, 1}, {va, 0.1, 10}, {db, 0.1, 10}]
>> As you vary va, db, and h, you will see the center of stable attractor
>> shifts.
>> This is entirely a different post, but if I wanted to see a poincare
>> section of that system, will that be doable in mathematica?  Seems
>> Like Stephen Lynch's book uses 3 different CAs to generate the
>> figures. And Mathematica version doesn't have the codes for poincare
>> section shown in fig 8.11 b....

DrMajorBob at

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