| Monday | Wednesday | Friday |
Sep 21
No class.
| Sep 23
Welcome! § 8.1: Introduction to iterating maps | Sep 25
§ 9.1 Periodic points
|
Sep 28
§ 9.2 The graphical method
| Sep 30
§ 9.3 Stability
| Oct 2
§ 9.3.2 Logistical family
|
Oct 5
§ 9.4 The Schwarzian derivative
| Oct 7
§ 9.5 Bifurcation diagrams
| Oct 9
§ 9.5 More bifurcations, Periodic windows |
Oct 12
More on stability
| Oct 14
§ 9.6 Conjugacy
| Oct 16
§ 9.6 Conjugacy § 9.7 Applications |
Oct 19
Review
| Oct 21
§ 10.1 Transition graphs
| Oct 23
§ 10.1.1 Sharkovskii Theorem
|
Oct 26
§ 10.2 Topological transitivity
| Oct 28
§ 10.3 Sequences of symbols (part 1)
| Oct 30
§ 10.3 Sequences of symbols and Shift spaces (part 2)
|
Nov 2
§ 10.3 Sequences of symbols and Shift spaces (part 3)
| Nov 4
§ 10.4 Sensitive dependence/ Chaotic orbits
| Nov 6
§ 10.5 Cantor Sets
|
Nov 9
§ 10.6 Subshifts
| Nov 11
§ 10.6 Subshifts § 10.6.1 Counting periodic points | Nov 13
§ 11.1 Limit sets
|
Nov 16
Review
| Nov 18
§ 11.2 Chaotic Attractors
| Nov 20
§ 11.2 Chaotic Attractors
|
Nov 23
§ 11.2.1 Expanding maps with discontinuities
| Nov 25
§ 11.3 Lyapunov exponents
| Nov 27
Thanksgiving break. No class. |
Nov 30
WCAS Reading Period.
| Dec 2
WCAS Reading Period.
| Dec 4
WCAS Reading Period.
|