Fractals/exponential

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

tetration fractals [5]

Baker domains [6][7]

How to compute it[edit]



 


Images[edit]

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)

References[edit]

  1. THE EXPONENTIAL MAP IS CHAOTIC: AN INVITATION TO TRANSCENDENTAL DYNAMICS by ZHAIMING SHEN AND LASSE REMPE-GILLEN
  2. Dynamics of exponential maps by Lasse Rempe
  3. wikipedia : Exponential map (discrete dynamical systems)
  4. Paper by N Fagella
  5. Paul Bourke fractals tetration
  6. On the Stability of Julia Sets of Functions having Baker Domains by Arnd Lauber ( 2004)
  7. Approximation of Baker domains and convergence of Julia sets by Tania Garfias-Macedo aus Mexiko Stadt, Mexiko