Use of functional programming in the research on dynamical systems and the deterministic chaos with the example of Feigenbaum and non-Feigenbaum function iterations

Krzysztof Choromański · 2007

The paper shows the results of computer simulations which were performed with the use of OCaml functional language. The simulations show Feigenbaum trees for a broad spectrum of functions. The possibility to magnify selected areas of the generated fractals permits viewing a whole diversity of structures which are invisible on a normal scale. What is most important, however, is that for non-Feigenbaum functions, the Author discovered the structures which differ completely in terms of quality from those of classic Feigenbaum trees.

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