Note about matlab codes: these codes are subject to change from time to time, so the actual behavior may differ slightly from the descriptions below.

Logistic Map

logistic.m

This will print a list of the first 40 iterates of the logistic map for a specified parameter value and initial condition. In addition, a graph is plotted of the iterates.

Cobweb Plot

cobweb.m

This will draw the cobweb plot for a logistic map. You can easily modify the code for other maps.

Henon Map

plothenon.m
henon.m

plothenon.m will plot iterates of the Henon map for specified initial conditions. The m-file henon.m defines the map itself.

Julia Set

julia.m

This will plot the julia set for a specified value of c

Invarient Measure

measure.m

measure.m will approximate the invarient measure of an interval map

Lorenz Equations

plotlorenz.m
lorenzf.m

plotlorenz.m will plot a solution to the Lorenz equations for specified parameter values and initial conditions. The file lorenzf.m must be present to define the Lorenz equations.