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

# Provides very attractive phase portraits it doesnt

• 4

This preview shows page 2 - 4 out of 4 pages.

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

Subscribe to view the full document.

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.
• Fall '08
• staff

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern

Ask Expert Tutors You can ask You can ask ( soon) You can ask (will expire )
Answers in as fast as 15 minutes