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chinye11
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Help with Complex quadratic forms
The question is to plot the julia set of the logistic map f [x] = 4.4x(1-x). I know how to plot the graph of z^2 + c for any given c using mathematica and I'm pretty sure its possible to convert any logistic map to the form z^2 + c but i was wondering if someone could help me with this conversion, how to and the theory with it?
Logistic Map: r x (1 - x)
Desired Form: z^2 +c
Translation 1
c = [( r / 2) - ( ( r ^ 2 ) / 4) ] gives answer 2.89
c = [ 1 - ( ( r -1)^ 2 / 2 ) ] gives answer -2.64
So far i have found two different answers 2.89 and -2.64 using two different translation i have found on the internet and was wondering if someone could help me.
Homework Statement
The question is to plot the julia set of the logistic map f [x] = 4.4x(1-x). I know how to plot the graph of z^2 + c for any given c using mathematica and I'm pretty sure its possible to convert any logistic map to the form z^2 + c but i was wondering if someone could help me with this conversion, how to and the theory with it?
Homework Equations
Logistic Map: r x (1 - x)
Desired Form: z^2 +c
The Attempt at a Solution
Translation 1
c = [( r / 2) - ( ( r ^ 2 ) / 4) ] gives answer 2.89
c = [ 1 - ( ( r -1)^ 2 / 2 ) ] gives answer -2.64
So far i have found two different answers 2.89 and -2.64 using two different translation i have found on the internet and was wondering if someone could help me.
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