The Black Rabbits of Fibonacci

TL;DR

This paper uses computer experiments on a simple dynamical system to illustrate interesting phenomena, serving as an educational resource rather than presenting new scientific results.

Contribution

It provides visual and experimental insights into cycle detection in tent maps, emphasizing educational value over novel findings.

Findings

Illustrates cycle detection in tent maps

Highlights curious phenomena in discrete dynamical systems

Serves as educational material with visualizations

Abstract

In this note, we use a toy problem of detecting cycles of length two in a tent map to highlight some curious phenomena in the behavior of discrete dynamical systems. This work presents no new results or proofs, only computer experiments and illustrations. Thus, it serves as light reading and does not aim to be a scientific paper but is rather educational in nature. For this reason it is accompanied by numerous illustrations.