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Re: Vector field with ImplicitPlot ?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg37551] Re: Vector field with ImplicitPlot ?
  • From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
  • Date: Tue, 5 Nov 2002 04:59:04 -0500 (EST)
  • Organization: Universitaet Leipzig
  • References: <apv8e7$rbj$1@smc.vnet.net>
  • Reply-to: kuska at informatik.uni-leipzig.de
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,

> This plots a nice implicit plot for various values of e1. What I wish to do is to attach a
> "sense" to the contours (an arrow that describes the direction of the orbit).

that is nonsense, because the direction of the orbit depend on your
initial
condition. Start with a positive x'[t] and a negative x[t] and your
orbit 
is counter clock wise and with a negative x'[t] your orbit is clock
wise.

Regards
  Jens

Madhusudan Singh wrote:
> 
> I wish to do plot a vector field plot of an implicit solution.
> 
> Equations :
> 
> (*V[x] is a polynomial function defined earlier *)
> e[x_, v_] := 1/2 v^2 + V[x];
> t3 = Table[e[x, v] == e1, {e1, 0, 1, 0.2}];
> ImplicitPlot[Evaluate[t3], {x, \(-2\), 2}];
> 
> This plots a nice implicit plot for various values of e1. What I wish to do is to attach a
> "sense" to the contours (an arrow that describes the direction of the orbit).
> 
> However, I am at a loss as to how to do it with PlotVectorField.
> 
> Any help would be appreciated.
> 
> PS : Is there a way in which I can "automate" the labelling of the curves with the values
> of e1 they are plotted for (something better than manually editing the labels to the plot
> each time I change the range of e1) ?
> 
> --
> Linux
> 3:29pm up 2:28, 1 user, load average: 0.07, 0.20, 0.16


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