Computing odd periods of alternating systems of affine circle maps

TL;DR

This paper introduces an algorithm to analyze the periodic structure of alternating systems formed by affine circle maps, aiding in understanding their complex dynamical behaviors.

Contribution

It presents a novel algorithm specifically designed to compute the odd periods in alternating affine circle map systems.

Findings

Algorithm efficiently computes periodic structures.

Identifies odd periods in affine circle map systems.

Enhances understanding of system dynamics.

Abstract

Let $f,g$ be affine circle maps and let $[f,g]$ be the alternating system generated by $f$ and $g$. We present an algorithm to compute the periodic structure of $[f,g]$.