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Re: Vector field with ImplicitPlot ?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg37528] Re: Vector field with ImplicitPlot ?
  • From: Madhusudan Singh <spammers-go-here at yahoo.com>
  • Date: Sun, 3 Nov 2002 02:58:57 -0500 (EST)
  • References: <apvckp$rrc$1@smc.vnet.net>
  • Reply-to: spammers-get-bounced at yahoo.com
  • Sender: owner-wri-mathgroup at wolfram.com

On Friday 01 November 2002 21:18, David Park (djmp at earthlink.net)  held forth in 
comp.soft-sys.math.mathematica (<apvckp$rrc$1 at smc.vnet.net>):

> Madhusudan,
> 
> I'm certain there is a way to obtain a nice plot for your function, but
> since you do not supply a COMPLETE example nor a valid email address you
> severely limit your chances for a response.
> 
> David Park
> djmp at earthlink.net
> http://home.earthlink.net/~djmp/
> 
> From: Madhusudan Singh [mailto:spammers-go-here at yahoo.com]
To: mathgroup at smc.vnet.net
> 
> 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) ?
> 

The example that I have quoted is the complete example. You may contact me at 
chhabra at eecs dot umich dot edu.



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