Math 485 -- Mathematical Modeling

MATLAB is already installed at these campus locations.

Programs

• Logistic map:
  
  • logistic.m
    Usage: logistic(0.5,1.5,0.1) will plot the bifurcation diagram for 0.5 <= a <= 1.5 at increments of 0.1. You can edit the program to control its detailed behavior.

  • logiter.m
    Usage: logiter(3.2,2) will graph the 2nd iterate of the logistic map with a=3.2.

  • logorbit.m
    Usage: logorbit(3.2,0.1,100) generates the orbit [x0 x1 ... xn] for the logistic map with a=3.2.

  • fit.m
    Usage: [M,B]=fit(X,Y) computes the least squares fit of the data in vector X and Y. M is the slope of the best fit, while B is the Y-intercept.

• ODE software by John Polking:
  
  • pplane7.m
  • dfield7.m
  These are two independent programs. To run pplane7, download the file "pplane7" and start MATLAB in the same directory, then type pplane7 at the prompt. You should get a window showing the simulation. Similar instructions apply to dfield7.

  If you cannot run these programs, try the Java versions. These should run directly in your browser. You will need to make sure that Java applets are enabled.

• Stadium wave code by Joceline Lega:
  
  • LaOla.m
  • LaOla.fig
  You will need both files. To run, download the code and start MATLAB in the same directory, then type LaOla at the prompt. You should get a window showing the simulation.