provides very attractive phase portraits It doesnt have the simple point and

Provides very attractive phase portraits it doesnt

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provides very attractive phase portraits . It doesn’t have the simple point and click features of the MatLab pplane8 program, but it is not very difficult to use. Below are a series of Maple commands to produce a nice phase portrait for our example. The command DEplot has many features that can be varied. It starts with the system of differential equations that are being solved, de1, de2 . The next element in the command is the state variables , which are being solved. This is followed by the time interval of interest. Next one can specify any solution trajectories based on the starting points. This is a set of initial conditions of interest to the viewer. Next one specifies the dimensions of the plotting area. The last two commands are simply color changes from the default for the direction field arrows (color or colour) and the
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trajectories (linecolor). The later is given the variable t to indicate the direction of flow from red to purple. Below shows the result of this command. We can use Maple’s with(plots): command to overlay multiple plots. In this case, we’ll simply add the nullclines to our plot, as we have learned that nullclines are useful to locate equilibria. The commands simply store the different graphics in variables, P 1, P 2, and P 3, and use the display command to view all elements superimposed.
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