MA 732-001 Spring 2013
Ordinary Differential Equations II
Ordinary Differential Equations by Schaeffer and Cain | Feedback on text
Ordinary Differential Equations and Dynamical Systems by Gerald Teschl
Course policies |
Readings and resources |
Test study guides |
Readings and resources
- Schaeffer and Cain, Sec. 5.5, Stable and unstable manifolds
- Schaeffer and Cain, Chapter 6, Oscillations
- Schaeffer and Cain, Chapter 7, Bifurcations from equilibria
- Schaeffer and Cain, Chapter 8, Global bifurcations
- dfield and pplane
- OdeFactory. Does much more that dfield and pplane, and is more pleasant to use and look at than xppaut. At the link above, click on the second menu item, How to Get OdeFactory, to learn how to install this program on your computer.
To get started, go here and click on Software Installation for instructions.
Once you have xppaut working, go back here, click on Chapter 1, and download four files:
The .ode files will run on xppaut. The .pdf files are instructions for what to do with them. These instructions will teach you a little about xppaut.
Xppaut is based on a program that was originally written for Windows, so it should work well on a Windows machine. If you use Linux, you are probably knowledgeable enough to deal with any issues that arise.
The following is for mac users.
Following all the instructions will take you to here. Then click on "latest", which will take you here. (Or just go there directly.) Download the disk image xpp611fosx.dmg. Open it to produce a volume that contains the folder xppmac. Put this folder in some convenient place, like your Desktop. Open the folder. Drag the file xppaut to your Applications folder, and drag the icon xpp to some convenient place, like your Dock. To test the program, open the folder ode and drag one of the .ode files onto the xpp icon. xpp should start.
Warnings for mac users:
(1) You must be using os 10.6 or greater. There are instructions for 10.5, but they have not worked for me.
(2) You must already have an X server installed. This is a program in your Applications/Utilities folder named X11 or something similar. If it's not there, it may be on a cd that came with your mac. Alternatively you can search the web for a free X11 server for the mac, such as XQuartz.
(3) I've encountered a few idiosyncracies on a mac. Clicking on the little red circle that should make a window go away does not work. If you finish working with one .ode file and want to work on another, I think you have to quit xppaut and start it up again.
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Last modified Sun Apr 14 2013
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