Math 321.001: Ordinary Differential Equations

Special Problem:

Consider the differential equation


y' = FA(y)


where A is a parameter that runs from 0 to 5. In the following animation you will see the graph of FA move as A varies. Your problem is to describe the bifurcations that occur as A changes. Also sketch the bifurcation diagram for this family of differential equations. Click here to see an animation of the graph of FA.

Note: the link is to a wmv file that opens in windows media player.