Fractals/exponential

< Fractals

parameter space of the complex exponential family f(z)=exp(z)+c. The parameter in the middle of the picture is postsingularly preperiodic (PSP). Eight parameter rays landing at this parameter are drawn in black. The bifurcation locus is grey, while hyperbolic components are shown as colored regions. Escaping set of (exp x-1)/2. (Arnaud Cheritat)

Exponential maps [1][2][3] [4]

Baker domains [5][6]

How to compute itEdit

 Z = x + y*i 
 \exp(Z) = e^Z 
 \mathrm{Real(\exp(Z))} =  \exp(x)   \cos(y)  \mathrm{Imag(\exp(Z))} = \exp(x)  \sin(y) 

ReferencesEdit