Exponential maps ^{[1]}^{[2]}^{[3]} ^{[4]}

tetration fractals ^{[5]}

Baker domains ^{[6]}^{[7]}

## Contents

# How to compute itEdit

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# What is the continous iteration of ?Edit

"The function

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is one of the simpler applications of continuous iteration. The reason why is because regular iteration requires a fixed point in order to work, and this function has a very simple fixed point, namely zero: "^{[8]}

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# ImagesEdit

# ReferencesEdit

- ↑ THE EXPONENTIAL MAP IS CHAOTIC: AN INVITATION TO TRANSCENDENTAL DYNAMICS by ZHAIMING SHEN AND LASSE REMPE-GILLEN
- ↑ Dynamics of exponential maps by Lasse Rempe
- ↑ wikipedia : Exponential map (discrete dynamical systems)
- ↑ Paper by N Fagella
- ↑ Paul Bourke fractals tetration
- ↑ On the Stability of Julia Sets of Functions having Baker Domains by Arnd Lauber ( 2004)
- ↑ Approximation of Baker domains and convergence of Julia sets by Tania Garfias-Macedo aus Mexiko Stadt, Mexiko
- ↑ Tetration FAQ by Henryk Trappman Andrew Robbins July 10, 2008