Chapter 11, Exploration 33

The tool here plots the dynamics of equation 11.8 from the text. Use the textboxes to enter values for \(\phi\) and \(\rho\), and click the button to update the graph. You will probably want to zoom in and out to see the details.

Note that when \(\rho = 1\), this reduces to Exploration 30.

• Describe the dynamics when \(0 < \rho < 1\)?
• Is the fixed point (0,0) a sink, a source, a saddle, or none of the above?
• Describe the dynamics when \(\rho>1\)?
• Is the fixed point (0,0) a sink, a source, a saddle, or none of the above?