Math 375 T    Uhlenbeck        Theory Assignment 2   Due Feb 16 



Text Page 61-62   # 1, # 2 (a-d) #3  #4


5.  Consider the model on page 76 (example 3) proposed by Hassel.


  N_(n+1) = g*N_n*(1+ a*N_n)^(-b).   

What features does this model have which make is superior to the model
in example 1 (which we discussed in class?)

Find the fixed points of this model and determine their stability.

Explain how to change the variable N_n to an equivalent system where
a = 1.  Hence the behavior of the system is determined by constants
q and b.





Be prepared to talk 5 minutes in class about a possible project.