Re: Re: Re: directionfields from StreamPlot
- To: mathgroup at smc.vnet.net
- Subject: [mg100594] Re: [mg100567] Re: [mg100531] Re: directionfields from StreamPlot
- From: Murray Eisenberg <murray at math.umass.edu>
- Date: Tue, 9 Jun 2009 03:52:58 -0400 (EDT)
- Organization: Mathematics & Statistics, Univ. of Mass./Amherst
- References: <200906050703.DAA25606@smc.vnet.net> <h0d72j$srt$1@smc.vnet.net> <200906061026.GAA04631@smc.vnet.net> <200906080606.CAA20092@smc.vnet.net>
- Reply-to: murray at math.umass.edu
To clarify one point: when one updates Gorni's PoincareMaps.nb so as to work with Mathematica 7, one then replaces Park's DrawGraphics with Park's Presentations package. Murray Eisenberg 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: > > http://sole.dimi.uniud.it/~gianluca.gorni/ > > 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: > > http://home.comcast.net/~djmpark/DrawGraphicsPage.html > > 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 yahoo.com 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 ...is 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.... > -- Murray Eisenberg murray at math.umass.edu Mathematics & Statistics Dept. Lederle Graduate Research Tower phone 413 549-1020 (H) University of Massachusetts 413 545-2859 (W) 710 North Pleasant Street fax 413 545-1801 Amherst, MA 01003-9305
- References:
- Re: directionfields from StreamPlot looks different from solution
- From: sean k <sean_incali@yahoo.com>
- Re: directionfields from StreamPlot looks
- From: sean_incali@yahoo.com
- Re: Re: directionfields from StreamPlot looks
- From: Murray Eisenberg <murray@math.umass.edu>
- Re: directionfields from StreamPlot looks different from solution