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MathGroup Archive 2007

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Re: Re: Phase Portrait

  • To: mathgroup at smc.vnet.net
  • Subject: [mg76292] Re: [mg76243] Re: Phase Portrait
  • From: Murray Eisenberg <murray at math.umass.edu>
  • Date: Sat, 19 May 2007 04:35:47 -0400 (EDT)
  • Organization: Mathematics & Statistics, Univ. of Mass./Amherst
  • References: <f2hck0$2fc$1@smc.vnet.net> <200705181017.GAA13210@smc.vnet.net>
  • Reply-to: murray at math.umass.edu

This is another nice example where the anti-aliasing in 6.0 gives a much 
smoother image.

Jens-Peer Kuska wrote:
> Hi,
> 
> and
> 
> ContourPlot[p^2/2 + Cos[x], {x, -Pi, Pi}, {p, -4, 4}]
> 
> draw the pahs portrait of a pendelum ? with a perfect
> separatrix, in version 6.0 ??
> 
> And including 1.0 into the Contours option will do it in
> version 5.2 also ??
> 
> Regards
>    Jens
> 
> 
> herato wrote:
>> Hi!
>> I would like to plot a simple phase portrait of some standard equation
>> such as the pendulum .
>>
>> How to do it?
>>
>> It is completely equivalent to plot sublevels of the Hamiltonian, but
>> in this case Mathematica does not plot the separatrix.....
>>
>>
>> Thanks a lot!!!!
>>
>>
> 

-- 
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


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