Please contact Victor Matveev for further information.
| Math-401 and Summer 2010 Assignments | ||
| Mar 15 | vary.m |
Learn to use loop and conditional statements: solutions of differential equation y'=t-y |
| 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 Fitzhugh-Nagumo 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.
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| May 3 | HH.m | Matlab code for the Hodgkin-Huxley 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 Morris-Lecar model as the applied current parameter is varied |
| ML.m | This program shows the phase-plane dynamics of the Morris-Lecar model along with the time-dependence of the solution | |
| June 12 | ant.m | Monte-Carlo simulation of chemotactic insect movement across a finite field with a source patch of attractant |
| June 15 | tristab.m | This program shows that the Morris-Lecar 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. |
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This Program is supported by the NSF grant award
DMS-0926232 Please contact Victor Matveev for further information. |