Math A4500, Section PR, Spring 2013

The final exam is Thursday, May 23rd from 1-3:15pm. It will be held in our usual classroom, NAC 6/113.

Study Guide for the final exam.
Solutions to Midterm 2.
Mathematica Notebooks:
Remark: With persistence, you should be able to obtain a free copy of Mathematica from CUNY.
Solutions to Midterm 1.
Another treatment of Sharkovsky's Theorem:
Keith Burns and Boris Hasselblatt, The Sharkovsky theorem: a natural direct proof
Cantor sets in the Logistic family: These notes prove the existence of an invariant Cantor set for certain Logistic maps.
Notes on conjugacy in the Logistic family: These notes prove that the maps F_μ with μ < 1 are conjugate to those maps F_μ with μ > 1.
The topological dynamics of rotations: A proof of the statement that forward orbits of a rotation are dense if and only if the rotation is irrational. This is an expanded version of the proof given in class, and differs from the proof in our textbook.

Meeting times:	TuTh 2-3:40pm in NAC 6/113
Instructor:	Prof. Patrick Hooper
Office:	NAC 6/282
Office Hours:	Tuesdays and Thursdays 4-5pm. Appointments are also accepted.
Email:
Phone:	(212) 650-5149

The logistic map: A nice applet demonstrating cobweb plots for the Logistic map.
Cobweb Plot 2008: A program for generating cobweb plots.
Devaney's collection of Java applets
The Henon map: a pair of applets demonstrating iteration of the Henon map and convergence to the Henon attractor.
The standard map: An applet exploring a family of area preserving maps of the torus.

Math A4500, Section PR, Spring 2013: Dynamical Systems
Prof. Hooper