This is documentation for Mathematica 6, which was
based on an earlier version of the Wolfram Language.
 Vector Field Plots Package Symbol

# HamiltonianFieldPlot

 HamiltonianFieldPlot[f, {x, xmin, xmax}, {y, ymin, ymax}] generates a plot of the Hamiltonian vector field of the scalar-valued function f as a function of x and y. HamiltonianFieldPlot[f, {x, xmin, xmax, dx}, {y, ymin, ymax, dy}] uses steps dx in variable x, and steps dy in variable y.
• The derivatives of f are calculated analytically.
• HamiltonianFieldPlot has the same options as Graphics, with the following additions and changes:
 ColorFunction None a function to use for coloring the vectors by their magnitude MaxArrowLength None length of the largest vector to be drawn, applied after the ScaleFunction, but before the ScaleFactor PlotPoints 15 the number of evaluation points in each direction ScaleFactor Automatic linearly rescales the vectors so the longest vector is equal to this value; Automatic fits the vectors in the mesh, None eliminates the rescaling ScaleFunction None a function to use for rescaling the magnitude of vectors
Needs["VectorFieldPlots`"]
Hamiltonian vector field of as and run from 0 to :
 Out[2]=