Math 246 Extra Credit Projects, Spring 2009
(11 May version)
Many of you have been assigned individual extra credit projects.
Most of these projects will consist of a sequence of phaseplane
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
emailed 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 MeanDiscriminant 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 BudaOrtins (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 MeanDiscriminant 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 MeanDiscriminant 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 MeanDiscriminant Plane
[mu + 1, 1; 3, mu  1]
by Toan Nguyen (pdf)

A Tour through the MeanDiscriminant 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 PredatorPrey 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 MeanDiscriminant Plane
[mu, mu  1; mu + 1, mu]
by Kelley Stanka (pdf)

The Transition between System (5)
and System (11) of 9.2
by AnhDuc 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)