Modelling Chaos theory help

[ptc-5697262]

Dear all,

I am relatively new to mathcad and could do with some help solving the errors that i have encountered.

I am trying to model the equation

x(subscript:n+1) = r*x(subscipt n) - x(subscipt n) ^3 where 0<r<3 and n is an integer 1-1000.

I believe this should output a bifurcation however i can not seem to get the program to output anything with a variable r, when r is a constant i get a chaos graph but i would like to plot x wrt r. If anyone has got any advice it would be greatly appreciated. I have attatched the work i have done i apologise for it being messy

[AlanStevens · Accepted solution]

Perhaps better as the attached?

Alan

Edit: Replaced file with one where the graph is plotted the right way round!

[ptc-5697262]

Thanks that works great

[Werner_E]

Here is a slightly different approach

EDIT: Replaced the attached file for a slightly improved one