1: write the matlab code for tent map: Let 0<b<=1. Let f(x)=bx for x<1/2 and f(x)=b(1-x) for x>=1/2. Make a vector with the numbers xn in it and plot that vector.

2: write matlab code for Histograms of chaos sequences xn+1 = f(xn) where f(x) =r x(1-x). Divide [0,1] into n sub-intervals of length 1/n "bins". Iterate for a random initial condition x0 and count how times xn lies each of these. Plot a histogram of the percent of times each bin is visited.

This material may consist of step-by-step explanations on how to solve a problem or examples of proper writing, including the use of citations, references, bibliographies, and formatting. This material is made available for the sole purpose of studying and learning - misuse is strictly forbidden.

function hist_logistic(r,x0,N,n_bins)

%Inputs

% r -- the coefficient of f(x)=rx(1-x); r should be in the range of 0 to 4

% x0 -- initial condition (.5 default)

% N -- the number of iterates for which to draw the cobweb (100 default)

% n_bins -- number of bins to use in the histogram. (100 default)

% Usage:

% hist_logistic(3.99,.5,100000)...

This is only a preview of the solution. Please use the purchase button to see the entire solution