Interdisciplinary Nonlinear Dynamics (438)

Problem Set 2

For Discussion Section October 12

1. Problems from Strogatz

   Do 3.1.1, 3.1.3, 3.2.4, 3.4.8, 3.4.11, 3.4.12, 3.4.14, 3.4.15, 3.4.16.
   

2. Population Growth with Eggs II
   

   Consider again the dynamics of a population of animals that lay eggs and investigate numerically

   
   

   dN dt = -N(t)-N(t)2+aN(t-t)-bN(t-t)2. (1)

   Explore what happens to the oscillating solution you found in the last homework if you keep increasing the delay t from t = 3 in not too large steps to at least t = 15, with a = 17 and b = 3.7 fixed.