Math 246 Extra Credit Projects, Spring 2009

Many of you have been assigned individual extra credit projects. Most of these projects will consist of a sequence of phase-plane portraits, each of which has a caption (paragraph) that explains what the portrait shows and perhaps presenting supporting analysis. Together, these portraits and their captions should tell a story. For example, for a nonlinear problem they might explain where the stationary points are located and how their stability is changing. Your entire project should be combined into a single pdf file and e-mailed to me by Tuesday, May 12. Please name your pdf file:

"XxxxxY.pdf" where Xxxxx is your last name and Y is the initial letter of your first name. No spaces!

You get 20 points when it is posted below. Outstanding ones will get an additional 5 points --- a total of 25 points.

Projects (listed alphabetically by student)

• A Tour through the Mean-Discriminant Plane [mu + 1, -mu; mu, mu - 1] by Sarah Adelman (pdf)

• The Transition between Problem 6 of 9.3 and Problem 8 of 9.3 by Abdulmalik Almeheini (pdf)

• The Transition between Problem 4 of 9.4 and Problem 4 of 9.5 by Jason Baldwin (pdf)

• The Transition between Problem 5 of 9.4 and Problem 6 of 9.4 by Rosemond Boateng (pdf)

• A Damped Hamiltonian System by Marek Buda-Ortins (pdf)

• An Undamped to Underdamped to Overdamped Pendulum by Keith Burghardt (pdf)

• The Transition between Problem 1 of 9.5 and Problem 3 of 9.5 by Fiza Chaudhry (pdf)

• The Transition between Problem 2 of 9.4 and Problem 2 of 9.4 by Brian Chiosi (pdf)

• The Transition between Problem 6 of 9.4 and Problem 3 of 9.5 by David Craytor (pdf)

• The Transition between Problem 3 of 9.4 and Problem 5 of 9.4 by Jessica Ernst (pdf)

• Pendulums in a Potential by Tyler Fean (pdf)

• A Tour through the Mean-Discriminant Plane [2mu, mu - 1; mu + 1, 0] by Ian Hall (pdf)

• The Famous Lorenz Attractor by Sean Henely (You need Java to play with this.)

• The Transition between Problem 6 of 9.4 and Problem 4 of 9.5 by Paul Henning (pdf)

• The Transition between Problem 2 of 9.4 and Problem 6 of 9.4 by Korey Hopkins (pdf)

• The Transition between System (3) of 9.4 and System (21) of 9.4 by Norville Hughes (pdf)

• The Transition between Problem 6 of 9.3 and Problem 8 of 9.3 by Denis Karamyshev (pdf)

• The Transition between Problem 3 of 9.4 and Problem 3 of 9.5 by Jonathan Kumi (pdf)

• A Family of Hamiltonian Systems by Seung Lee (pdf)

• The Transition between System (3) of 9.4 and System (2) of 9.5 by Andrew Levinson (pdf)

• Various Hamiltonian Systems by Matthew Marsh (pdf)

• Various Cubic Oscillators by Harsh Mishra (pdf)

• Hamiltonian System with Various Dampings by Ehsan Mohammadi (pdf)

• Cubic Oscillator with Various Linear Dampings by Henrik Molintas (pdf)

• A Damped to Undamped Oscillator by Alex Muroyama (pdf)

• The Transition between System (21) of 9.4 and System (2) of 9.5 by Tim Murray (pdf)

• A Tour through the Mean-Discriminant Plane [mu + 1, 1; 3, mu - 1] by Serge Muya (pdf)

• The Transition between Problem 1 of 9.4 and Problem 2 of 9.4 by Ben Nguyen (pdf)

• A Tour through the Mean-Discriminant Plane [mu + 1, -1; 3, mu - 1] by Toan Nguyen (pdf)

• A Tour through the Mean-Discriminant Plane [mu, 1 - mu; 1 + mu, mu] by Alexey Nikiforov (pdf)

• The Transition between Problem 5 of 9.4 and Problem 3 of 9.5 by Nathan Ong (pdf)

• The Rossler Attractor by Tin Ousborne (pdf)

• The Transition between Problem 2 of 9.5 and Problem 3 of 9.5 by Chris Palm (pdf)

• Quadratic Oscillator with Various Linear Damping Coefficients by Kevin Paszinski (pdf)

• The Transition between Problem 1 of 9.4 and Problem 2 of 9.5 by James Polivka (pdf)

• Various Interacting Species by David Pressman (pdf)

• The Transition between Problem 10 of 9.2 and Problem 13 of 9.2 by Corinne Resch (pdf)

• The Transition between Problem 1 of 9.3 and Problem 4 of 9.3 by Emily Rodriguez (pdf)

• The Transition between Problem 15 of 9.3 and Problem 16 of 9.3 by Omir Sabir (pdf)

• Various Predator-Prey Systems by Michael Schwartz (pdf)

• Double Well System with Cubic Damping by Mollie Semmes (pdf)

• The Transition between Problem 1 of 9.4 and Problem 1 of 9.5 by Irina Shaorshadze (pdf)

• The Transition between Problem 2 of 9.4 and Problem 1 of 9.5 by Rajan Sharma (pdf)

• Pendulum with Various Cubic Dampings by Justin Shearer (pdf)

• Various Cubic Oscillators with Linear Damping by Natan Simhai (pdf)

• Quadratic Oscillator with Cubic Dampings by Kevin Smith (pdf)

• A Tour through the Mean-Discriminant Plane [mu, mu - 1; mu + 1, mu] by Kelley Stanka (pdf)

• The Transition between System (5) and System (11) of 9.2 by Anh-Duc Van (pdf)

• The Transition between Problem 2 of 9.4 and Problem 3 of 9.5 by Kelliann Wachrathit (pdf)

• The Transition between Problem 2 of 9.4 and Problem 4 of 9.5 by Bowei Zhu (pdf)