On a simple dynamical map with a flooring function

Toru Ohira

doi:10.51094/jxiv.120

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Toru Ohira Graduate School of Mathematics, Nagoya University

DOI:

https://doi.org/10.51094/jxiv.120

Keywords:

flooring function, nonlinear dynamics, dynamical map

Abstract

We report here a computational study of a recently proposed simple dynamical map. Despite its simplicity, it offers a wide variety of dynamical paths depending on the initial value. Some analytical properties and future directions are also discussed.

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References

R. M. May: Simple mathematical models with very complicated dynamics, Nature, 261 (1976), 459-467.

R. L. Devaney: An Introduction to Chaotic Dynamical Systems Second Edition, Perseus Books Publishing, (1989).

This map first appeared in the entrance examination of Nagoya University (Japan) on February 26, 2021.

On a simple dynamical map with a flooring function

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