Assignment 5 – Cobweb vs. Solutions, Non-linear Systems
Due Date: September 27, 2011
1. What are the differences between cobweb plots and solution plots?
a. Axes?
b. How do you create them?
c. How can you tell if the system goes to an equilibrium point or not?
2. Use DiscreteSolve() to simulate the following system. Set your initial value to 1.
Is this system linear or non-linear? Why?
What is the equilibrium value that is reached?
3. Write your own non-linear discrete time dynamical system and explain why it is non-linear.
Find the equilibrium point(s). Use DiscreteSolve() to see what your system does. Describe
how the system behaves. Include a jpeg of the plots you get from DiscreteSolve().