Periodic points on T - fiber bundles over the circle

TL;DR

This paper investigates the behavior of periodic points in fiber-preserving maps on fiber bundles with a circle base and torus fiber, aiming to understand their structure and properties.

Contribution

It provides new insights into the dynamics of fiber-preserving maps on specific fiber bundles, focusing on periodic points over circle bases.

Findings

Characterization of periodic points on T-fiber bundles

Conditions for existence of periodic points

Structural properties of fiber-preserving maps

Abstract

The main purppose this work is to study periodic points of fiber-preserving maps on fiber bundles with base circle and fiber torus.