# 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?