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MathGroup Archive 2002

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Vector field with ImplicitPlot ?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg37377] Vector field with ImplicitPlot ?
  • From: Madhusudan Singh <spammers-go-here at yahoo.com>
  • Date: Fri, 25 Oct 2002 02:48:36 -0400 (EDT)
  • Reply-to: spammers-go-here at yahoo.com
  • Sender: owner-wri-mathgroup at wolfram.com

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) ?

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