Length distribution of periodic orbits of unitary discrete tent maps

TL;DR

This paper investigates the length distribution of periodic orbits in discrete unitary tent maps, revealing that their density follows an inverse proportional law, which enhances understanding of their dynamical properties.

Contribution

It introduces a numerical analysis of the length distribution of periodic orbits in discrete unitary tent maps, showing a specific inverse proportional law behavior.

Findings

Length distribution density approximates an inverse proportional law

Periodic orbit lengths follow a predictable statistical pattern

Provides insights into the dynamics of discrete unitary maps

Abstract

The discrete unitary (reversible) analogues of the continuous (irreversible) tent maps are numerically investigated, in particular, the lengths probability distribution of their periodic orbits. It is found that its density can be well approximated by the inverse proportional law.