Math401 and Summer 2010 Assignments 
Mar 15 
vary.m 
Learn to use loop and conditional statements: solutions of differential equation y'=ty 
Apr 1 
twoD.m 
Two dimensional flows and plots of vector fields: solution of a linear system with unstable focus at the origin 
Apr 16 
FN_Hopf.m 
Matlab code for the FitzhughNagumo model, showing the solution with initial condition close to the fixed point,
as the applied current I is varied. Subthreshold Hopf bifurcation arises as the fixed point
loses stability and gives way to periodic spiking solution.

May 3 
HH.m 
Matlab code for the HodgkinHuxley model, showing the time course of a single action potential

June 1 
spring4.m 
Matlab function defining ODE system for 4 masses connected with springs

movie4.m 
See a movie of four vibrating masses connected with springs

June 9 
Nsprings.m 
Matlab function defining ODE system for N masses connected with springs

springMovie.m 
See a movie of N vibrating masses connected with springs

June 10 
ML_Hopf.m 
Plot of the main variables fo the MorrisLecar model as the applied current parameter is varied

ML.m 
This program shows the phaseplane dynamics of the MorrisLecar model along with the timedependence of the solution

June 12 
ant.m 
MonteCarlo simulation of chemotactic insect movement across a finite field
with a source patch of attractant

June 15 
tristab.m 
This program shows that the MorrisLecar model can exhibit tristability with two stable fixed points and a stable limit cycle

July 12 
rossler.m 
Rossler system as the minimal model of chaos: stretch, bend, squeeze, repeat.
