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This is parameter plane for iterations of the exponential map
zn+1 = c exp(zn) , Re(z) < 50. Maximum number of iterations is N = 7, 15, 50 correspondingly. I "stole" these funny pictures from the
preprints:
"Growth in complex exponential dynamics" and
"Ordering of the Mandelbrot-like set of the exponential map"
M.Romera, G.Pastor, G.Alvarez, F.Montoya.
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This is the general view with N = 100. You should be patient,
as since iterations are rather slow :)
Click a picture to explore it. |