[Matplotlib-users] Animations for non-autonomous linear differential equations
Hi all, I was wondering if it is possible to produce animations like http://www.math.uh.edu/~josic/nonautonomous/ with pylab ? Further information is available in a recent paper by K. Josic and R. Rosenbaum published in SIAM Review. See http://dx.doi.org/10.1137/060677057 Cheers, Nils from scipy.integrate import odeint from scipy.linalg import eig from pylab import plot, show, legend, xlabel, ylabel from numpy import zeros, linspace, dot, sin, cos, exp # # K. Josic, R. Rosenbaum # Unstable solutions of nonautonomous linear differential equations # SIAM Review Vol. 50 No. 3 (2008) pp. 570--584 # def A(t): tmp = zeros((2,2),float) tmp[0,0] = -1-9*(cos(6*t))**2+12*sin(6*t)*cos(6*t) tmp[0,1] = 12*(cos(6*t))**2+9*sin(6*t)*cos(6*t) tmp[1,0] = -12*(sin(6*t))**2+9*sin(6*t)*cos(6*t) tmp[1,1] = -1-9*(sin(6*t))**2-12*sin(6*t)*cos(6*t) return tmp def func(x,t): return dot(A(t),x) x_0 = zeros(2,float) # Initial conditions x_0[0] = -2.44 x_0[1] = 1.23 x_0[0] = 5.0 x_0[1] = 0.0 T = linspace(0,3,300) x = odeint(func,x_0,T) # # Analytical solution of Vinograds example # y_1 = exp(2*T)*(cos(6*T)+2*sin(6*T))+2*exp(-13*T)*(2*cos(6*T)-sin(6*T)) y_2 = exp(2*T)*(2*cos(6*T)-sin(6*T))-2*exp(-13*T)*(cos(6*T)+2*sin(6*T)) plot(T,x[:,0]) plot(T,x[:,1]) plot(T,y_1,'r.') plot(T,y_2,'g.') xlabel(r'Time $t$[s]') legend((r'$x_1$',r'$x_2$',r'$y_1$',r'$y_2$')) for t in T: w, vr = eig(A(t)) print vr[:,0], vr[:,1] show() - This SF.Net email is sponsored by the Moblin Your Move Developer's challenge Build the coolest Linux based applications with Moblin SDK & win great prizes Grand prize is a trip for two to an Open Source event anywhere in the world http://moblin-contest.org/redirect.php?banner_id=100&url=/___ Matplotlib-users mailing list Matplotlib-users@lists.sourceforge.net https://lists.sourceforge.net/lists/listinfo/matplotlib-users
Re: [Matplotlib-users] Animations for non-autonomous linear differential equations
Nils Wagner wrote: > Hi all, > > I was wondering if it is possible to produce animations > like > > http://www.math.uh.edu/~josic/nonautonomous/ > > with pylab ? > Yes. See http://www.scipy.org/Cookbook/Matplotlib/Animations -Jeff -- Jeffrey S. Whitaker Phone : (303)497-6313 Meteorologist FAX: (303)497-6449 NOAA/OAR/PSD R/PSD1Email : [EMAIL PROTECTED] 325 BroadwayOffice : Skaggs Research Cntr 1D-113 Boulder, CO, USA 80303-3328 Web: http://tinyurl.com/5telg - This SF.Net email is sponsored by the Moblin Your Move Developer's challenge Build the coolest Linux based applications with Moblin SDK & win great prizes Grand prize is a trip for two to an Open Source event anywhere in the world http://moblin-contest.org/redirect.php?banner_id=100&url=/ ___ Matplotlib-users mailing list Matplotlib-users@lists.sourceforge.net https://lists.sourceforge.net/lists/listinfo/matplotlib-users
Re: [Matplotlib-users] SVG backend fails with locale change
On Mon, Aug 25, 2008 at 7:17 PM, Michael Droettboom <[EMAIL PROTECTED]> wrote:
> Thanks for spotting this. I don't think a lot of us ever use non-English
> locales, so that's fallen through the cracks.
>
> backend_svg.py was using '%s' to convert floats, to limit the number of
> digits written to the file. This works fine with regular floats (since they
> do not follow the locale unless explicitly asked to do so), but numpy arrays
> seem to always follow the locale. (Not certain whether that inconsistency
> could be considered a bug in Numpy).
>
> In any case, I've committed a workaround to matplotlib, which unfortunately
> results in slightly larger SVG files. This is now fixed in SVN r6049. Look
> there for a patch if you just want to fix your local backend_svg.py.
>
Thanks for your lightspeed fix submit ! I patched it and it works fine.
Mathieu.
> Cheers,
> Mike
>
> Mathieu Leplatre wrote:
>>
>> Hi,
>>
>> If I change the locale using cairo backend, the result is fine.
>> But with SVG backend, every objects collapse on top-left corner.
>>
>> As you can see here :
>> http://mathieu-leplatre.info/media/matplotlib-svg/localechange-svg.svg
>>
>> I exported it to png with inkscape to reveal objects outside of frame :
>> http://mathieu-leplatre.info/media/matplotlib-svg/localechange-svg.png
>>
>> Cairo output is fine :
>> http://mathieu-leplatre.info/media/matplotlib-svg/localechange-cairo.svg
>>
>> I guess it's not a unicode problem, since the strings have no
>> non-ascii characters.
>>
>> The code is quite straightforward, it allows me to choose the date
>> language for the formatters.
>> Let me know if I should fill a bug report.
>> Thank you all !
>>
>>
>> import locale, matplotlib
>> from datetime import datetime
>> matplotlib.use('svg')
>> import pylab, numpy
>>
>> locale.setlocale(locale.LC_ALL, 'fr_FR.UTF-8')
>> today = datetime.today().strftime("%A")
>>
>> pylab.title( today )
>> pylab.plot( range(10), numpy.random.randn( 10 ))
>> pylab.savefig('localechange-%s' % matplotlib.get_backend())
>>
>>
>> -
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>
> --
> Michael Droettboom
> Science Software Branch
> Operations and Engineering Division
> Space Telescope Science Institute
> Operated by AURA for NASA
>
>
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