I'm exploring the iterative chaos that comes out of the logistic bifurcation algorithm x (n+1) = rx(1-x) or rx(x-x^2).
I'd like to take this in to the complex plane to explore the bifurcations of the other mandelbrot bulbs that exist there.
There are many references to the Mandelbrot equation z^2+c but none that I can find for transforming rx(x-x^2).
I need to make rx(x-x^2) a complex equation introducing y parameter on yi axis to get to the other bulbs. Can someone help? Thanks.
I'd like to take this in to the complex plane to explore the bifurcations of the other mandelbrot bulbs that exist there.
There are many references to the Mandelbrot equation z^2+c but none that I can find for transforming rx(x-x^2).
I need to make rx(x-x^2) a complex equation introducing y parameter on yi axis to get to the other bulbs. Can someone help? Thanks.