Math 313-1, R. Clark Robinson
Class Assignments, Fall 2003

Book: "An Introduction to Dynamical Systems"
by R. Clark Robinson

Homework 200
Midterm Test 1 100
Midterm Test 2 100
Final 200
Total 600

DateSection and Homework
Sept 24Introduction, 8.1, (ASY 1.1)
269.1 Periodic points (ASY 1.6)
299.2 Graphical method (ASY 1.2)
30Homework 1: 9.1: 1ab, 2, 3, 4
Oct 19.3 Stability (ASY 1.3 & 1.4)
39.3.2 Logistic family (ASY 1.5)
6 9.4 Bifurcation of periodic points (ASY 11.1 & 12.2)
7Homework 2: 9.2.1; 9.3.1; 9.3.6; 9.3.9; 9.3.12
8 9.4 Bifurcation of periodic points (ASY 11.1 & 12.2) & 9.4.1 Bifurcation diagram (ASY 1.5 & 12.1)
109.5 Schwarzian derivative (ASY 3.5)
13 9.6 Conjugacy (ASY 3.3)
14Homework 3: 9.4.1; 9.4.2; 9.4.3; 9.5.1; 9.5.2; 9.5.3
159.6 Conjugacy (ASY 3.3)
17 9.7 Applications
20Review & Look at : 9.6.1
21Test 1 ( covers Chapter 9 )
22 10.1 Transition graphs (ASY 1.8, 3.4)
2410.1.1 Sharkovskii Theorem (ASY Challenges 1 & 3)
27 10.1.1 Sharkovskii Theorem (ASY Challenges 1 & 3)
28Homework 4: 10.1:1,2,3,5
2910.2 Topological transitivity (ASY 3.2)
31 10.3 Sequences of Symbol



Math 313-1, Fall 2003

Nov 3 10.3 Sequences of Symbol; 10.4 Sensitive dependence (ASY 1.7)
4Homework 5: 10.2: 1, 2, 3; 10.3: 1, 2
5 10.5 Cantor sets (ASY 4.1)
7 10.5 Cantor sets (ASY 4.1)
10 10.6 Subshifts (ASY 6.3); 10.6.1 Counting periodic points
11Homework 6: 10.4: 1, 6; 10.5: 2, 3
12 10.7 Applications
1411.1 Limit sets (ASY 6.1)
17Review & Look at: 10.6:1, 3, 5
18Test 2;
19 11.2 Chaotic attractors (ASY 6.2)
21 11.2.1 Expanding maps with discontinuites
24 11.2.1 Expanding maps with discontinuites
25Homework 7: 11.1.2; 11.2: 1, 2, 4
26No class
28Thanksgiving
Dec 1 11.3 Lyapunov exponents (ASY 3.1); Look at 11.3: 1,7
2No class;
3Review
5Review
8 Final, 9-11 AM (Final cannot be rescheduled)

ASY = "Chaos: An Introduction to Dynamical Systems" by Alligood, Sauer, and Yorke

Updates: http://www.math.northwestern.edu/~clark/313/hw1.html