(Orbit Diagram) Use the Matlab file logisticorbit.m to plot the orbit diagram for the Logistic map. Change the previous file as needed to plot the orbit diagram for each of the following maps. Make sure to use a large enough range of the parameter value r to obtain the main features of interest. Additionally, run the code a few times to make sure that the chosen initial values do not change your plot (Does your plot change if you run the code more than once?).

x_n+1 = x_ne^-r(1-x_n) (Standard Period Doubling route to chaos)

x_n+1 = x_ne^-rx_n (Only one period Doubling)

x_n+1 = r cos x_n (Period Doubling and then chaos)

x_n+1= r tan x_n (Very messy)

x_n+1 = rx_n x_n³(Attractors are sometime symmetric)